Does Maine mean anything in any Indian languages?

The history of the name is from an English Charter (correspondence of Captain John Mason) 1639.

I'm not aware of a Native Amreican word that sounds close to it at all (but I do not know, nor have reference sources for enough, to make that a final answer).

Its name comes from an ancient French province of the same name. So if it does mean something in any Indian language its probably a coincidence