Your husband is wrong.Parker is masculine....and trendy...and not good for a boy and definitely not for a girl (seriously?!).
It's neither. It's an occupation name/ surname.
It's super trendy right now, but of all of the occupation/ surnames, this happens to be one I sort of like.
If you want a surnamey FN, suggesting
Taylor (love this for a boy)
BFP 1- EDD 2/09/11 Missed MC DX @11 weeks D&C- 7/25/10 BFP 2- EDD 12/22/11 Natural MC @ 5w 2d BFP 3- EDD 1/25/12 DD Josephine born 1/16/12