Your birthday star is in the constellation Ophiuchus. It is called 12 Ophiuchi in the Historia Cœlestis Britannica of John Flamsteed and Edmund Halley. It is called NS 1636-0219 in the NStars database.
It has visual magnitude 5.76 meaning that you could just see this star with the naked eye under the best viewing conditions. It is marked in the center of this star chart, at celestial coordinates (J2000 equinox):
Right ascension 16:36:21.5 Declination -2:19:28.5
This star is 32.0 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.