That's only for little guys (i.e. county commissioners proving residency). The big wigs have always pulled this crap. Chester Arthur's dad was probably British and he got away with it.

I mentioned Jindal and Rubio earlier. This issue came up when they were both considering running, and the Republican establishment mercilessly mocked anyone who could possibly have questions as to their eligibility. They seem to think, as long as someone was born on American soil, or to one American parent, they're good. At least, they pretend to believe that.