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Nothing in law or the US constitution mentions parentage as a qualification or disqualification to run for the presidency.

At least 35 years old.
Born in the US.
Lived in the US for 14 years.

Well, at least quote accurately.

The Constitution says, "natural-born citizen." And the judge writing the decision in Minor v Happersett defined "natural born citizen" as someone born in the United States to parents who were both U.S. citizens at the time of his birth.

"Additions might always be made to the citizenship of the United States in two ways: first, by birth, and second, by naturalization. This is apparent from the Constitution itself, for it provides [Footnote 6] that "No person except a natural-born citizen or a citizen of the United States at the time of the adoption of the Constitution shall be eligible to the office of President"

"The Constitution does not in words say who shall be natural-born citizens. Resort must be had elsewhere to ascertain that. At common law, with the nomenclature of which the framers of the Constitution were familiar, it was never doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also."

"Some authorities go further and include as citizens children born within the jurisdiction without reference to the citizenship of their parents. As to this class there have been doubts, but never as to the first. For the purposes of this case, it is not necessary to solve these doubts. It is sufficient for everything we have now to consider that all children born of citizen parents within the jurisdiction are themselves citizens.