Well, no, since the scenario you describe wouldn't run afoul of the "natural born citizen" requirement, unless the child was born outside the US. As to proof, unless there's a massive conspiracy which includes hospital bureaucrats, local newspapers (in 1961!) and local and state government officials in Hawaii as well as numerous judges up to and including at least 4 Supreme Court Justices, the proof has been provided to the people who need to see it. I don't have to prove a thing, and I have examined the "proof" that's being circulated by the birth-truthers. It's not just lame; it's Andrew Sullivan lame. (Or do you think Sullivan has a right to Trig's birth certificate too?) Worse, to the extent it gains any traction (which thankfully it's not) it threatens conservatism by making us all look like tin-foil-hatters.