I don't care for it because the meaning is too trivial sounding for a woman's name - JMO, YMMV and all that, but I've only ever heard this as a name for a cat, and the only time I liked it was when I was a kitten-crazy nine-year-old.
Best combo you have there: F.
Louise. Second best: F.
Anne.
I think it goes okay with
Frederick as a sister's name, but not great, since
Felicity strikes me as slightly fanciful and
Frederick is traditional.
- chazda