There are THREE kinds...a born citizen, a naturalized citizen, and a NBC !
Unless the government has changed the rules, in the past TEN YEARS, which I haven't heard about and which nobody else has either, the government tells those who are studying to become a naturalized citizen that in order to run for the presidency, a child MUST have TWO American citizens, at the time of his or her birth. You don't like that/don't believe me.....then write to the government agency that supplies study guides to those who are becoming naturalized citizens! :-)
Nope. Look at the law and history. There was never a 3rd category.