Why not then consider the opinion of the United States very first historian.
"The citizenship of no man could be previous to the declaration of independence, and, as a natural right, belongs to none but those who have been born of citizens since the 4th of July, 1776."....David Ramsay, 1789.
A Dissertation on Manner of Acquiring Character & Privileges of Citizen of U.S.-by David Ramsay-1789
<.i>...those who have been born of citizens...
That certainly takes care of the two parent requirement. Of course, there are those who would prefer to add language such as, "or perhaps just one parent".
Recall the resolution pertaining to McCain. It also indicated "parents".
Have a nice day.