Finding the roots of this name is not easy and we have to go through the literature through the path of Tanya or Tatiana, or even Tatyana.
Tatiana is a feminine form of the Roman name Tatianus, which is from the Roman name Tatius, which again is of unknown meaning. This was the name of an early saint and martyr.
Other sources tells us that Tatyana or Tetyana is from from the old Greek word meaning “organizer”, “founder”.

Tetiana, Tania has the name day of January 12. In order to see what significance this day has had through history I give a list of some historic moments of January 12th. When it comes to the dday, we have to look into the differences between the Gregorian and Julian calendar, which has 13 days difference.

Tatiana Day is a Russian religious holiday observed on January 25 according to the Gregorian calendar, January 12 according to the Julian. It is named after Saint Tatiana, a Christian martyr in 2nd century Rome during the reign of Emperor Alexander Severus.

In 1755 on the name day of Ivan Shuvalov’s mother Tatiana Rodionovna, his mistress Empress Elizabeth of Russia endorsed his petition to establish a university in Moscow. The church of Saint Tatiana was later built in the university campus, the Russian Orthodox Church declared Saint Tatiana the patron saint of students, and Tatiana Day has become celebrated as

Tatiana is a Slavic female name. In Russian it is written /???????/. Alternative spellings in the Roman alphabet include Tatyana, Tatianna, and Tatjana. The short form of the name is Tanya (in Russian: ????). The name can affectionately be abbreviated to Tanyshka, Tanechka, Tat’yanka, etc.
The name honours Orthodox Saint Tatiana (?????? ???????, Svyataya Tat’yana) who was tortured and martyred in the persecutions of Emperor Alexander Severus c.230 in Rome. Saint Tatiana is also considered a patron saint of students. Hence, Tatiana Day is now an official school holiday for students in Russia.
There is a theory that the name “Tatiana” comes from Titus Tatius (Latin), a name of a king.
475 – Basiliscus becomes Byzantine Emperor, with a coronation ceremony in the Hebdomon palace in Constantinople.
1528 – Gustav I of Sweden crowned king of Sweden.
1592 – Titus Andronicus first staged at the Rose Theatre.
1773 – The first public Colonial American museum opens in Charleston, South Carolina.
1777 – Mission Santa Clara de Asís is founded in what is now Santa Clara, California.
1780 – The first issue of the Neue Zürcher Zeitung (then known as the Zürcher Zeitung) is published.
1808 – The organizational meeting that led to the creation of the Wernerian Natural History Society, a former Scottish learned society, was held in Edinburgh.
1848 – The Palermo rising in Sicily rises against the Bourbon kingdom of the Two Sicilies
1866 – Royal Aeronautical Society is formed in London.
1872 – Yohannes IV is crowned Emperor of Ethiopia in Axum, the first imperial coronation in that city in over 200 years.
1875 – Kwang-su becomes emperor of China.
1895 – The National Trust is founded in Britain.
1898 – Ito Hirobumi begins his third term as Prime Minister of Japan.
1906 – Sir Henry Campbell-Bannerman’s cabinet (which included amongst its members H.H. Asquith, David Lloyd George, and Winston Churchill) embarks on sweeping social reforms after a Liberal landslide in the British general election.
1908 – A long-distance radio message is sent from the Eiffel Tower for the first time.
1915 – The Rocky Mountain National Park is formed by an act of U.S. Congress.
1915 – United States House of Representatives rejects proposal to give women the right to vote.
1918 – Finland’s “Mosaic Confessors” law went into effect, making Finnish Jews full citizens.
1926 – Freeman Gosden and Charles Correll premiere their radio program Sam ‘n’ Henry, a precursor to Amos ‘n’ Andy; possibly the first situation comedy.
1932 – Hattie W. Caraway becomes the first woman elected to the United States Senate.
1940 – World War II: Russia bombs cities in Finland.
1942 – President Franklin Roosevelt creates the National War Labor Board.
1945 – World War II: The Soviets begin a large offensive in Eastern Europe against the Nazis.
1964 – Rebels in Zanzibar begin a revolt known as the Zanzibar Revolution and proclaimed a republic.
1966 – Lyndon B. Johnson states that the United States should stay in South Vietnam until Communist aggression there is ended.
1966 – Batman the TV series debuts on ABC.
1967 – Dr. James Bedford becomes the first person to be cryonically preserved with intent of future resuscitation.
1969 – Joe Namath and the New York Jets defeat the Baltimore Colts 16-7 in Super Bowl III, becoming the first team from the American Football League to win American Football’s top championship.
1969 – Led Zeppelin releases their first album.
1970 – Biafra capitulates, ending the Nigerian civil war.
1971 – All in the Family debuts on CBS.
1971 – Harrisburg Six: The Reverend Philip Berrigan and five others are indicted on charges of conspiring to kidnap Henry Kissinger and of plotting to blow up the heating tunnels of federal buildings in Washington, DC.
1976 – UN Security Council votes 11-1 to allow the Palestine Liberation Organization to participate in a Security Council debate (without voting rights).
1991 – Persian Gulf War: An act of the U.S. Congress authorizes the use of military force to drive Iraq out of Kuwait.
1992 – A new constitution, providing for freedom to form political parties, is approved by referendum in Mali.
1995 – Malcolm X’s daughter, Qubilah Shabazz, is arrested for conspiring to kill Louis Farrakhan.
1998 – Nineteen European nations agree to forbid human cloning.
2004 – The World’s largest ocean liner RMS Queen Mary 2 makes it’s maiden voyage.
2005 – Deep Impact (space mission) launches from Cape Canaveral by a Delta 2 rocket.
2006 – The foreign ministers of the United Kingdom, France, and Germany declare that negotiations with Iran over its nuclear program have reached a dead end and recommend that Iran be referred to the United Nations Security Council. (ABC)
2006 – A stampede during the Stoning the Devil ritual on the last day at the Hajj in Mina, Saudi Arabia, kills at least 362 Muslim pilgrims. (BBC)
2006 – Turkey releases Mehmet Ali A?ca from jail after he served 25 years for shooting Pope John Paul II. (BBC)
2006 – The French warship Clemenceau reaches Egypt and is barred access to the Suez Canal. Greenpeace activists board the ship. (BBC)
2007 – Comet McNaught reached perihelion becoming the brightest comet in more than 40 years.

The name has Russian orgin, and first used in this part of the world. However the name is used for females in the former Soviet Union countries like Ukraine, Belarus, Hungary, Latvia, and Lithuania and so on.

Some famous people with the name Tetyana can be found and I list some few here for curiosity.

Tetyana Tereshchuk-Antipova (née Tereshchuk, Ukrainian: ?????? ???????-????????, born October 11, 1969 in Luhansk) is a female Ukrainian 400 m hurdler.
She won the won bronze at the 2004 Olympic Games, silver at the 1998 European Championships and bronze at the 2006 European Championships.
Tetyana Ivanivna Kocherhina-Makarets (née Makarets, Ukrainian: ?????? ???????? ?????????-????????, born March 26, 1956) is a former Soviet/Ukrainian handball player who competed in the 1976 Summer Olympics and in the 1980 Summer Olympics.
In 1976 she won the gold medal with the Soviet team. She played all five matches and scored 24 goals. Four years later she was a member of the Soviet team which won the gold medal again. She played all five matches and scored 28 goals.
Tetyana Petlyuk (born 22 February 1982) is a Ukrainian runner who specializes in the 800 metres. Her personal best time is 1:57.34 minutes, achieved in June 2006 in Kiev.
Tetyana Semykina (Ukrainian: ?????? ????????, born October 19, 1973) is an Ukrainian Olympic medalist. She won a Bronze medal in 2004 at the Olympics in Athens in the Canoeing, Women’s K4 500m Kayak Fours. She canoed along with her compatriots Hanna Balabanova, Inna Osypenko, and Olena Cherevatova.
Tetyana Berezhna (born 13 November 1982) is an archer from Ukraine.
Berezhna represented Ukraine at the 2004 Summer Olympics. She placed 14th in the women’s individual ranking round with a 72-arrow score of 640. In the first round of elimination, she faced 51st-ranked Fotini Vavatsi of Greece. Berezhna defeated Vavatsi, winning 160-156 in the 18-arrow match to advance to the round of 32. In that round, she faced Jennifer Nichols of the United States, losing to the 19th-ranked archer 163-160 in the regulation 18 arrows. Berezhna finished 18th in women’s individual archery. Berezhna was also a member of the 6th-place Ukrainian team in the women’s team archery competition.
Tetyana Kryvobok (born 17 January 1972) is a Ukrainian middle distance runner who specializes in the 3000 metres. She finished fifteenth at the 2005 European Indoor Athletics Championships in Madrid and ninth at the 2006 IAAF World Indoor Championships in Moscow. Her personal best time over 3000 m is 8:58.87 min, achieved in May 2005 in Yalta.
Tetyana Holovchenko (born 13 February 1980) is a Ukrainian middle/long-distance runner who specializes in the 1500 and 3000 metres.
Tetyana Yablonska (Ukrainian: ????????? ?????? ???????) (February 11, 1917 – June 17, 2005) was a Ukrainian painter. Her early vital pictures are devoted to work and a life of Ukrainian people (“Bread”, 1949). She has passed to generalizing images of the nature, differing a subtlety of plastic and color rhythms (“Anonymous heights”, 1969; “Flax”, 1977).
Yablonska was born in Smolensk, Russia. She studied at the Kiev State Institute of Art (1941), the studio of Fedir Krychevsky. She worked very productively until the very end of her life, reportedly painting her last pastel etude on the very day of her death.
She was elected as Member of parliament of Ukrainian Soviet Socialistic Republic (Ukrainian Verkhovna Rada, English Supreme Council) in 1951–58, became member of the Ukrainian Artists’ Union in 1944, member of the board of the USSR Artists’ Union in 1963, member of the Academy of Art of the USSR in 1975.
Yablonska was awarded the honorary title “Peoples’ Artists of the USSR” in 1982, “Artist of Year” (UNESCO) in 1997, “Woman of Year” (International Biography Centre, Cambridge) in 2000. She was the winner of the USSR State Prize (Stalin prize: 1949, 1951 and State Prize: 1979), winner of the Shevchenko state prize of Ukraine (1998).
She also received the Order of the Red Banner of Labour (1951), the Order of Friendship of Peoples (1977), order Award for merits (1997) and the highest state award of Ukraine – title Hero of Ukraine (2003).
She died in Kiev on June 17, 2005.
Tetyana Vodopyanova (born January 11, 1973 in Kiev) is a former Ukrainian biathlete. Presently at the Institute of Physical Education and Wellness of the Volyn National Univercity where she is a “Distinguished Master of Sports”.
Tetyana Grygorivna Hlushchenko (Ukrainian: ?????? ?????????? ????????, born July 12, 1956 in Kiev) is a former Soviet/Ukrainian handball player who competed in the 1976 Summer Olympics. She trained at Spartak in Kiev. In 1976 she won the gold medal with the Soviet team. She played all five matches.
Tetyana Yurevna Perebiynis (Ukrainian: ?????? ??????? ??????????), born on December 15, 1982 is a female professional tennis player born in Kharkiv, Ukraine, where she lives. She is an only child. She reached the Wimbledon junior girls’ singles final in 2000, and won the Wimbledon juniors doubles final that year. She finished 2006 ranked 161 in Singles, and 70 in Doubles.
Haydée Tamara Bunke Bider, communist revolutionary
Tania (queen)
Tania was an alias of Patricia Hearst
Tania Borealis and Tania Australis, stars in the constellation Ursa Major
Tania Emery, actress
Tania Lacy, comedian
Tania Libertad, singer
Tania Raymonde, actress
Saint Tatiana, 3rd-century Christian martyr
Tatiana, Mexican singer and children’s television show host
Tatyana Alekseyeva, retired Russian 400 metre runner
Tatyana Ali, actress and singer
Tatiana Belinky, Brazilian children’s book writer
Tatyana Biryulina, Soviet javelin thrower
Tatiana Bulanova, Russian pop singer
Tatiana Cameron, Croatian-born pop singer (formerly known as “Tajci”)
Tatiana Golovin, a French tennis player who was born in Moscow, Russia
Tatiana Grigorieva, Australian athlete of Russian origin.
Tatiana von Furstenberg, daughter of Prince Egon and Princess Diane Von Furstenberg; singer in the band Playdate
Tatiana Lemos, Brazilian freestyle swimmer
Tatyana Lesovaya, retired Russian discuss thrower
Grand Duchess Tatiana Nikolaevna of Russia
Tatyana Polovinskaya, Ukrainian long-distance runner
Tatjana Simi?, Dutch actress and singer
Tatyana Skatchko, retired Russian long jumper
Tatiana Taylor, character in Auf Wiedersehen, Pet
Tatiana (Silvia Braga) Tavares, Miss Belgium 2005.
Tatyana Tolstaya, modern Russian writer, granddaughter of Aleksey Tolstoy
Tatiana Wisla, character in the anime series Last Exile.
When doing searh for the names Tetyana, Tanya, Tania and its like on the internet gives us the following hit results;
202,000 hits for Tetyana
2,660,000 hits for Tatyana
58,000 hits for Tetiana
24,800,000 hits for Tanya
2,130,000 hits for Tania
So there is probably lots of information hidden behind the name as it is used in various typing and all these spellings derives from the same name.