Ah, thanks for clarifying.
de Vattell did define NBC, whether you believe the Founders used that definition is up for debate.
I personally think de Vattell's definition makes sense when viewed that the Founders wanted un questionable loyalty.
For example, if Cruz became POTUS, granted the pipeline from Canada, could an argument be made he is partial to Canada because it's his birthplace?
You know the argument would be made and it has merit.
Similarly, even though Cheney divested any interest in Halliburton, the argument was, well, you know the history of that.
The point is, when a POTUS has no other allegiance other than to the US, loyalty becomes moot, and that's its what the Founder intended, JMHO.
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”.