I love so many of those names mentioned!
I have very similar taste and know of a sweet little girl named Claire; nn Clairsie.
It is hard to do nicknames with 1-syllable names, though.
Many of my favorite traditional girls' names have been mentioned, but I love
Katherine (Kate)
Claire
Suzanne/ Susanna
Anna/ Ann(e)/ Annie
Laura, Lauren
Alexandra
Elizabeth
Marie/ Maria
Grace
Rose
Celeste
Josie
DD has one of these names, and DS would've had another one of them, if he was a girl.
Good luck deciding! Girls' names are so fun to think about and have the privilege of choosing!