Vattel is discussed in the congressional record as is British law regarding “natural born subject”. Apparently, based on the wording of the Naturalization Law of 1790, the British law won. Brit law accepted as a natural born subject those born overseas to one British subject.
And, just to be fair, Vattel did not use the word “natural born”. He used the French “indigenes” — “native”.
“And, just to be fair, Vattel did not use the word natural born. He used the French indigenes native.”
Another excellent point. Vattel, which none of these trolls have read as they have read nothing else presented to them or anything they themselves have presented, did not use the term “natural born”.