Please see my post at #113.
The courts simply have not ruled on the matter. Being a “citizen at birth” or a “natural-born citizen” by statute may or may not make one eligible to the presidency under the U.S. Constitution. Such persons are absolutely citizens and do not require naturalization, but according to the State Department, there is no definitive answer to the question of their constitutional eligibility.
Unless and until the courts do rule, all discussion on the matter is pure speculation and all citations of the law on immigration and naturalization are interpretations and educated guesses.
George Washington signed it; President Washington presided over the constitutional convention that wrote our constitution that was ratified in 1787, just 3 years before this law was passed.
So, the usage of "natural born citizen" extended to those born to US citizens overseas according to those who wrote the Constitution.
There really isn't any argument after this.