There you'll learn that Vattel was the primary reference for "The Law of Nations" used by the members of the Constitutional Convention.
Also, as James Madison once said "the Common Law of England is not the Common Law of the United States."
The dispute over this was one of the reasons for the War of 1812!
Then answer this question. If Vattel wrote: The natives, or indigenes, are those born in the country of parents who are citizens then why didnt the framers do likewise if they meant it to be that way?