[Drew68]

You seem to be proposing that the parents of a presidential candidate must themselves be NBC, which I think carrying the argument a generation too far.

I'm curious... Is there any mechanism in place in any state to compel a presidential candidate to provide the citizenship status of his parents at the time of such candidate's birth?

Somehow, I doubt it.

[Elsiejay]

“Is there any mechanism in place in any state to compel a presidential candidate to provide the citizenship status of his parents at the time of such candidate’s birth?”

It should be automatic that whether or not a candidate for Pres. is a “natural born citizen” be determined by a duly certified commission. This would require a showing that the candidate’s parents were U. S. citizens at the time of his birth on U. S. territory.
Of course, all of this has been rendered moot in the special case of Kenyan (culturally, irrespective of place of birth) Muslim B. Hussein Obama.

[Sherman Logan]

AFAIK, there is no mechanism in any state to compel a presidential candidate to provide proof of his own citizenship status.