I wouldn't. But only because I'm just not into Month or Season names much.
We got heaps of jokes about what our first kid's name would be, being due so close to Christmas. Some suggestions were Holly, Noel, Carol, Chris etc. People were just poking fun though.
As it turns out, Natalie means Christ's Birth so we kind of did go with the season LOL! DH and I had always liked Natalie though.