That’s not American law. That’s why even if Obama were born abroad, he’d still be at least an American citizen except that his mother was still too young to convey American citizenship as his sole American parent in those circumstances. Cruz’s mother was old enough, with enough years in the US after, I forget, age 15 or whatever the deal at the time, for him to be an American citizen by birth.
Why can the American mother pass citizenship but the Cuban father cannot?
http://www.scribd.com/doc/29342223/Morse-Natural-Born-Citizen-1904
Our conclusion is that the child of citizens of the United States, wherever born, is “a natural-born citizen of the United States,” within the constitutional requirement; and, as such, if possessed of the other qualifications, would be eligible for the office of president of the United States.