There are multiple origins and meanings for the name Maia:
1. Ancient Greek name (Μαϊα) meaning - "foster-mother"
Maia in Greek mythology was the eldest of the Pleiades, the seven daughters of Atlas and Pleione. She and her sisters, born on Mount Cyllene in Arcadia, are sometimes called mountain goddesses, oreads, for Simonides of Ceos sang of "mountain Maia" (Maia oureias) meaning - "of the lively black eyes". Maia was the oldest, most beautiful and shyest. Aeschylus repeatedly identified her with Gaia.
2. Derivative of the given name Maya - "born in May"
3. Arabic name (مي) meaning - "monkey".