There are multiple origins and meanings for the name Eteri:
1. Georgian name (ეთერი), comes from the ancient Greek word (αἰθέριος) [aithérios] meaning - "ethereal; high-flying, heavenly"
The name of Georgian queen, who was poisoned by jealousy of her beauty.
2. Derived from the Turkish (Turkic) word (yeterli) meaning - "enough" - "enough girls to be born"!