>> As far as the parental citizenship claims meaning natural born, that's not the law <<
Oh no! Heavens to Betsy! Do you mean that Vattel was wrong?
Better put on your flame suit, the sooner the better!
Oh no! Heavens to Betsy! Do you mean that Vattel was wrong? I won't go that far. Vattel predates the 14th Amendment and was an influence on legal theory. He's a persuasive authority. Vattel and Blackstone and the others are equivalent to a treatise. They are important. They influence the law. They are however only persuasive authority. They are great for law review articles, to sprinkle in with the meat and potatoes of actual authority. The most authority they have is the potential of being cited by a judge who incorporates parts of it as a reason for the portion of his decision.
What matters more are the constitution, Statutes, Treaties, administrative law decisions, and Court Precedents. The major authority on citizenship is the 14th Amendment, and any explicit "natural born citizen" definition used by the courts - likely 9-0, will use the birth citizenship as somebody born a citizen, or in its most restrictive form, born a citizen on US territory.