Vattel never used the term “Natural Born Citizen”. Anyone who cites Vattel for a definition is ignorant of reality. He didn’t use the term.
10 years after the Constitution was approved, a translation of Vattel translated “indigenes” as NBC. Indigene, then and now, refers to an indigenous person. Nothing to do with NBC.
If the Founders had followed Vattel, they would have required the President to be a “native” or an “indigene”.
Alrighty, then:
Cite for all of us the absolutely perfect paper which meets all of your criteria without being “birther” bullshit.
Waiting...