Actually, that's not true. Birthright citizenship wasn't extended to the children of some aliens until the U.S. v. Wong Kim Ark decision. And even then it was only extended to those whose parents had an established permanent domicile in the U.S. at the time of the child's birth
Produce one example of someone born on US soil to white non-citizen immigrant parents, who was declared not to be a United States citizen prior to 1880.