I was searching around to try to find out where some of these names come from, as I couldn't find them on BtN.
Saturine - I am guessing this is a variant of Saturnine (Saint
Saturnina), a virgin martyr from Arras, honored 4
Jun.
Arnesse - Although I am not sure, I think this name might be a try at a French feminization of the name
Ernest. The only reason I have to believe this is the child was born on 7 Nov, the feast day of Saint
Ernest.
Soline - Saint Solina, virgin martyr, honored 17 Oct.
Venerande - Vénérande (Saint Veneranda), virgin martyr in Champagne, honored 14 Nov.
Racine - Means "root" in French. It also is a French surname.
Pie - French for
Pius.
Anise - I believe this may be a feminization of Anese (Saint Anesius), martyr from
Africa, honored 31 March. Again, this child was born on 31 March, the same day that Saint was honored.
Digne - Saint Digna, virgin martyr from Cordoue, honored 14
Jun.
It's interesting after looking into it I've come to find out that almost all of these children were named for the saint which is honored closest to the day of their birth!