This is off topic, but I need some clarification on this one. This has been argued in here before--and heatedly, at times. Does "native born" include children born on US military bases which are located in other nations? When I had my son, I came home from Germany to have him in the USA because I was told that his birth on a US base in Germany would mean that he would be a NATURALIZED CITIZEN...and, therefore, not eligible to run for President. WHADDA' YOU KNOW ABOUT THIS? :-)
The phrase used is "natural born." Personally, I would think that anybody who was born a US citizen (which includes children born abroad of American parents) would qualify as "natural born."
I would think this argument would be weakened if the person automatically received the citizenship of another country at birth as well. But if the only citizenship a person received at birth was US citizenship, I would think that would definitely strengthen the claim to be "natural born" citizens of the USA.
I was just looking at this. There are more details to it, but that's the essence. I think there was a law around 1790 or so that explicitly stated that children born abroad of American parents were to be considered as "natural born." If you find more details and analysis, post 'em!