Tubridy in the Gaelic language = Tiobraide.
The daughter of = Ni Tiobraide,
The son of = O ' Tiobraide,
The wife of = Bean Tiobraide.
That said, the Annals of the Four Masters records the following for the Kings of Ulster:
Legendary monarchs of Ireland descended from the line if Ir, son of Milesius, were of the clan Ollaman of Ulster, i.e. the Dal Ariade of Fir Ulaid and included:
Ir, fifth son of King Milesius, was claimed to have arrived in Ireland anywhere from 17th century to 6th century BC.. thus the Milesian race.
Eber Donn, son of Ir, son of Miled Espaine, King of Ulster
Ebric m. Eber Donn
Airtri m. " "
Cairpre m. Ollaman Fotla..
Fiatach Finn -103rd King of Irleand
Elim - 105th King of Ireland
Mal - 107th King of Ireland
TIOBRAIDE TIREACH =10 AD from whom are the Dal Araide
And.... For 10 AD Tibraide Tireach, from whom are the Dal Araide, being with in the womb of his mother Aine, daughter of the King of Saxony, escaped death from Cairbre Connait's massacre of the nobility.
And.. 157 AD Conn of 100 Battles was slain by Tibraite Tireach, son of Mal, son of Rochraide, King of Ulster, at Tuath Amrois.
Age of the World 5200 = 1st year of the age of Christ.
So, I think it is pretty safe to say that the name TUBRIDY goes back a fair bit in Irish History.