The name Zeta is a girl's name of Italian, Greek origin. Zeta and is often added to lists like Cool Baby Names That Start With Z and discussed in our forums with posts like "Hunt for our favourite girl names (Alphabet-wise)".
From the experts:
The sixth letter of the Greek alphabet, popularized by Welsh actress Catherine Zeta-Jones -- Zeta was her grandmother's first name. Zeta can also refer to the letter Z, the last in the Roman alphabet, or be a spelling variation of Zita, a name with several possible origins and meanings.