Here is what Wikipedia has in regaurd to the definition of "Natural Born Citizen".
Naturalization Act of 1790
The Act also establishes the United States citizenship of children of citizens, born abroad, without the need for naturalization, "the children of citizens of the United States that may be born beyond Sea, or out of the limits of the United States, shall be considered as natural born Citizens".
http://en.wikipedia.org/wiki/Naturalization_Act_of_1790
There are also these two tidbits from the second link,
http://en.wikipedia.org/wiki/Natural-born_citizen
"The 1790 Congress, many of whose members had been members of the Constitutional Convention, provided in the Naturalization Act of 1790 that "And the children of citizens of the United States that may be born beyond the sea, or out of the limits of the United States, shall be considered as natural born citizens." In addition George Washington was president of the Constitutional Convention and President of the United States when this bill became law. If Washington disagreed with this definition, he could have vetoed this bill".
And
"Lowell Weicker, the former Connecticut Senator, Representative, and Governor, entered the race for the Republican party nomination of 1980 but dropped out before voting in the primaries began. He was born in Paris, France and acquired his citizenship at birth through his parents. His father was an executive for E. R. Squibb & Sons and his mother was the Indian-born daughter of a British general". He was eligable to be President with a foreign mother and being born in Paris.
Does this apply today or not?
No, because that 1790 act was later superseded.
In any event, it’s the children of “citizens”. BHO, Snr wasn’t a citizen. Also, Miss Dunham wasn’t at the age of majority at the time, and thus was a child, not an adult citizen.
Weicker dropped out because he had no chance of winning dogcatcher, let alone POTUS.