Obviously, the 14th amendment speaks to “citizenship”, but does it speak to the “Natural-born” degree of citizenship in the context of presidential qualifications? I haven’t heard/read anyone discuss that directly, and of all the SCOTUS decisions being batted around, none have (so far as I have read) discussed that “natural-born” citizenship.
If I’d only read down a bit further — I now see the cite for “MINOR V. HAPPERSETT, 88 U. S. 162 (1874)”, which appears to reference Vattel, or agrees with Vattel, in reinforcing the definition of the term, “Natural Born Citizen”.