Thus your source that isn't a source when it says the opposite of the point you wanted to make.
No wonder everyone is laughing at birthers! The contortions are rather preposterous.
What I think has nothing to do with it. What does matter is the opinion of the supreme court and those of our framers. Chief Justice Morrison Waite, Minor v. Happersett, 1874:
“At common-law, with the nomenclature of which the framers of the Constitution were familiar, it was never doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also. These were natives, or natural-born citizens,...”
McCain was not born in our country. Obama’s parents were not citizens. Find any source cited by our supreme court which modifies Justice Waite's clear recitation of Vattel’s definition. That, as Justice Waite points out, is our common-law understanding of the words of our Constitution's framers.