Your Birthday Star:
Your birthday star is in the constellation Centaurus. It has the name θ (Theta) Centauri in Johann Bayer's Uranometria star catalog. It is also called 5 Centauri in the Historia Cœlestis Britannica of John Flamsteed and Edmund Halley. It is called NS 1406-3622 in the NStars database.
It has visual magnitude 2.07 meaning that you could see this star easily with the naked eye. It is marked in the center of this star chart, at celestial coordinates (J2000 equinox):
This star is 60.9 light years away, which means that the light we see from it today set off on its journey at about the same time that you were born. Come back in a month or two and your birthday star may change, as the light from more distant stars reaches Earth.