Did you ever get a full and valid response to your question? It happens to be my first name. It's actually a French surname, but my parents decided to give it to me as a first name! :) And as a francophone and a linguist, I believe it is the female version of MONET
(f.)). I recall doing some research on the name's history a while back and remember reading something about it having been derived from the Hebrew "monan daeg" which means "Moon day" which was shortened to "Monday"...thus, in Spanish and Italian LUNA
, French LUNE. Haven't found information on its diachronic changes, so I don't know how it ended up in the form "Monette."
If you've received more information on this, I'd appreciate it if you would share it with me. I'm at firstname.lastname@example.org