That rule only applies to American born presidents.
I have never believe that is true for one simple reason: If Obama were born in another country, the Clinton oppo research machine would have found it an exploited it. They had the best opposition research machine in the world. If there were even the slightest sliver of info suggesting that, the Clintons would have smeared him into the next galaxy. Anyone who disagrees is rabidly pro-Clinton.
Good one.