The name Jackson is a girl's name meaning "son of Jack".
No, Jackson is not the latest crazy name the girls are stealing from the boys. Oddly enough, Jackson was given to MORE girls a decade ago than it was last year, probably as a family name or as a tribute to the musicians. But Jackson's extreme popularity as a boys' name has probably made it feel less possible for girls.
There have been some extremely popular baby names for girls -- Addison, Madison, Allison -- that originated as patronymics and literally mean "son of." And there's nothing gender-neutral about that.