[El Sordo]

It depends on which Birther you ask.

Some are of the ‘Father needs to be a citizen, but not the mother’ sect and others are of the ‘two parent’ sect.

[DiogenesLamp]

Some are of the ‘Father needs to be a citizen, but not the mother’ sect and others are of the ‘two parent’ sect.

And more knowledgeable ones are aware that it was the custom in the early 19th century that the wife automatically took the citizenship of the husband upon marriage, and that any offspring were always born to whatever the Husband's nationality was. This was codified into American law in 1854.

Long story short, both views are correct, depending on how you wish to look at it.