[BuckeyeTexan]

I agree that Congress has such authority. SCOTUS has not, however, issued an opinion on the matter of those born abroad to citizen parents.

[conservativejoy]

What's the issue? The same men who wrote the Constitution also wrote this 1n a 1790 law:

The Act also establishes the United States citizenship of certain children of citizens, born abroad, without the need for naturalization: "the children of citizens of the United States that may be born beyond Sea, or out of the limits of the United States, shall be considered as natural born Citizens".

Since the Constitution gave Congress the authority to make that ruling, where is the issue?

[Calpublican]

They have not issued an opinion; however:
The Supreme Court has long recognized that two particularly useful sources in understanding constitutional terms are British common law3×

Both confirm that the original meaning of the phrase “natural born Citizen” includes persons born abroad who are citizens from birth based on the citizenship of a parent.

Used in Smitgh vs Alabama and other cases.