I fear you have missed the intent of the Constitution altogether. The Constitution enumerates the powers of legislation but the word "enumerated" is not in the Constitution. The word "Democracy" does not appear anywhere in the Constitution. The words "both parents" also do not appear in the Constitution.
However, the words natural born Citizen do appear.
Chief Justice John Marshall, in delivering the opinion of the Court in Marbury v. Madison (1803) stated, It cannot be presumed that any clause in the constitution is intended to be without effect; and therefore such construction is inadmissible, unless the words require it. Citizen, naturalization and natural born Citizen are ALL in the Original, unamended Constitution; therefore, none can mean the same thing.
Why did the framers of the Constitution make the distinct reference to "natural born" in the case of the President but not in the case of Congress?