I don't know. But it doesn't matter, IMO. There's nothing in COTUS, Federal law or Case law that would disqualify someone born in the US from the Presidency based on their parents' citizenship (unless the parents were diplomats or fell into one of the other unusual exceptions).
Flip side: there is nothing in law saying someone is qualified to be POTUS given a non-citizen parent. There has been some obfuscation of this issue, especially as pressed by opponents of “anchor baby” citizenship, and by recent historical scholarship noting that President Chester Arthur went to great lengths to conceal his father’s citizenship in a matter comparable to Obama’s BC issue. It’s reasonable to assume the Founding Fathers made a distinct, if imperfect, effort to prevent those of divided loyalties from becoming President. There’s enough confusion that it’s time for the Supreme Court to weigh in.