“”All those are natural-born Subjects whose Parents, at the Time of their Birth, were under the actual Obedience of our King, and whose Place of Birth was within his Dominion. “”
Yep. Just like WKA wrote. Doesn’t say citizen-parents.
You admit Vattel wrote:
“By the law of nature alone, children follow the condition of their fathers, and enter into all their rights. The place of birth produces no change in this particular, and cannot itself furnith any reason for taking from a child what nature has given him;”
That is Swiss law. It is NOT US law, nor was it US law at any time. You could have and often did have a non-citizen father giving birth to a citizen child. A NATURAL BORN CITIZEN, as the NY Supreme Court ruled in the 1840s, and no court has ever overturned.
Because Emerich de Vattel was Swiss he only wrote about Swiss law? LoL. Rogers you're so full of BS.
It's not Swiss law you ninny. Vattel wrote about universal Natural law that just as real as Positive law. 
And you got some obscure NY Supreme Court Nonsense?? LoL. Come on.
I got the US Supreme Court holding explicitly stating that Natural born citizens are to have two parent citizens and born in the United States.
That's because the wife ALWAYS took on her husband's citizenship upon marriage. And daughters and sons did the same, as they inherited their citizenship from the father. Really no need to mention it. Back in the day and as late as 1932, if an American female married a foreign citizen, she lost her U.S. citizenship upon marriage and took her citizenship of her husband. The world still is mostly patriarchal societies. It's the very reason you inherited your father's last name and not your mom's maiden name.