Please see post 203 and the Supreme Court decision it references.
The (long) decision makes it very clear that citizenship under the common law and under US law has only been derived primarily derived from place of birth. Only in rare exceptions was the parentage of the child relevant. And, yes, at the time it was the father who was relevant. Given changes during the last century to make the laws sex-neutral, I suspect this has been changed and the mother’s status is now equally relevant.
The (long) decision makes it very clear that citizenship under the common law and under US law has always been derived primarily derived from place of birth.
Sorry for the typo.