According to the sources listed on the Wiktionary page for this name in Greek script, it literally meant “lady” in Ancient Greek and was used as a respectful title for an older woman. It was also a children’s form of meter (“mother”). [noted -ed]
MAIA in Greek means the woman who assist to the labor / birth, the equivalent of today's doula, and MAIA is one of the deities that protect fertility and birth.
'Maia' is an ancient Greek noun (same in modern Greek also) which meant and means 'midwife' (obstetrics), the woman who knows how to help another woman to give birth.
Her Roman name was Maia Maiestas, and she was also called Fauna, Bona Dea ("the Good Goddess") and Ops. Some believe her to be the equivalent of the old Italian goddess for Spring.
In modern Greek the word maia is used for the midwife, that is the woman that helps another woman to give birth to her child.
― Anonymous User 1/26/2005
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It's very interesting that it means midwife in Greek, because midwife in Hebrew is Meyaledet (from Leyda which means Giving birth), which sounds kind of similar. I wonder if there's a connection.