I love the suggestions so far. I think [name]Claire[/name] is a great first name. 
Not sure if you’ll like any but here are few more suggestions.
[name]Eleanor[/name], [name]Nathaniel[/name] and
[name]Alison[/name]
[name]Angeline[/name]
[name]Annmarie[/name]
[name]Caroline[/name]
[name]Collette[/name]
[name]Jacqueline[/name]
[name]Julianne[/name]
[name]Miriam[/name] - nn [name]Miri[/name]
[name]Ramona[/name]
[name]Rosemarie[/name]
[name]Sylvia[/name]