Galatea? Like,
Pygmalion's Galatea?
Oh, dear, I doubt it. Galatea was much more...um, full-figured and good-natured and all that.
And it doesn't really explain why she would 'take on others' identities'...Nor does it explain why she has to do so little changing to assume their identities.
I'm guessing 'she' is a shapeshifter god of some sort.
1. She knows Coyote, a trickster god (trickster gods are known to typically do the most shapeshifting)
2. She can 'take peoples' names'. And has to do little actual changing for her disguise to be successful. Which implies some inner capability to be believable in her disguises. Either that, or her taking names means she takes souls, which is actually even MORE implicit of divine capability.
3. She's known as 'Wandering Eye', which is an epithet of Amun. If she isn't Hathor, she's still probably some sort of divinity. The name is likely meant to be an allusion to Hathor, if not some other goddess. The again, a 'wandering eye' typically also implies a lustful demeanor, which could imply a creature of high sexual appetite. Not sure how to narrow that down; there's so many...
“…Judge not what a man has done, but judge what he could have done if he was a different bloke altogether. For art thou a leper? And a leper can changeth his spots…” --Rudy Wade, Misfits (Series 4, Episode 8)