I really think that you ought to be honest with yourself about why you felt such a desperate need to rely upon a footnote like that to support an important argument about how we are required to interpret the natural born citizen clause. That footnote does not cite one case or statute. It is clearly just the opinion of the author. It means nothing more or nothing less than that the author liked Vattel’s book.
No, it's based on the compiled work of the Judges of the Supreme Court of Pennsylvania. The Author, Samuel Roberts, received all of his legal training from William Lewis, who was another member of the legislature when the Constitution was ratified by Pennsylvania.
And it is not just Jasper Yeates, or William Lewis, or Samuel Roberts who said these things. It is quite a lot of early officials and lawmakers who said them, among them are also Benjamin Franklin, James Wilson, Bushrod Washington, (Nephew of George), James Monroe, Chief Justice of the Supreme Court John Marshall, and so on.
James Wilson specifically cites Vattel during the Convention. James Wilson along with Benjamin Franklin also incorporated the Jus sanguinus right of citizenship into the Original Pennsylvania Constitution.
Here's "B. Franklin's" (who was President of the Pennsylvania constitutional convention) signature right on the document.
Natural law is not created by statutes or court decisions, it is created by God. So believed the Founders.