I know a little girl named Parjer Daisy. I love the name Parker for a girl.
My 3 year old daughter is Parker Belle. She's a doll. :)
If I heard it, I automatically think boy...saying that, it would be cute for a girl because I like names that can go either gender. It just would be confusing for a lot of folks. If you go that route, pick a super feminine middle name! :-)