You’ve missed the real history around the term natural born citizen. And Vattel was writing about international law, and admits it doesn’t apply to how England handled things.
I suggest reading this 1844 decision on what was meant by NBC:
http://tesibria.typepad.com/whats_your_evidence/Lynch_v_Clarke_1844_ocr.pdf
This is a bunch of crap. Vattel pointed out that England chooses to naturalize at birth the children of aliens. That's fine, but those people are still naturalized. They are not natural, indigenous, or natural born. You have been corrected on this point before yet you keep posting this false information. Please stop posting lies to FreeRepublic.com.