I apologize: here's a P.S. to my post regarding the "in amity" qualifier.
I just want to note that the language goes on to state, "Children, born in England, of such aliens were therefore natural-born subjects." IOW, again, the point is that this is not, on its face, a blanket natural-born status for the children born in England of ALL aliens, but for children born in England of "aliens in amity" with the Crown.
So, again, to apply this provision, one needs to know the legal scope of what it means to be an "alien in amity."
"It thus clearly appears that, by the law of England for the last three centuries, beginning before the settlement of this country and continuing to the present day, aliens, while residing in the dominions possessed by the Crown of England, were within the allegiance, the obedience, the faith or loyalty, the protection, the power, the jurisdiction of the English Sovereign, and therefore every child born in England of alien parents was a natural-born subject unless the child of an ambassador or other diplomatic agent of a foreign State or of an alien enemy in hostile occupation of the place where the child was born."