I don't know the name Anoa, but i don't think that this name comes from Ainhoa.
Ainhoa is the name of a Basque town in Pyrénées Atlantiques (a French district), where there is an image of the virgin Mary. The web of Euskaltzaindia (the Basque Academy) (
www.euskaltzaindia.com) don't give meaning for Ainhoa.
(The meanings only are available in Basque and Spanish.)