I wish we could locate the women in Geneat named so in 1610, to figure out the geographical location.
I still maintain my theory that the Opera popularised the name in the 19th century. In Geneall (admittedly a smaller database but usually an accurate one) the first Anaïses date precisely from 1798.
https://geneall.net/pt/pesquisa/?s=Anaïs&t=p&total=222&start=8