Well, I'll be interested in what John Jay did say (not much, Hamilton) but you will find in this article, apparent sources and resources relevant to the framers, which require both components (birth in state and birth by citizen father).
They include John A. Bingham (framer of 14th Amendment), St. George Tucker (foremost commentary on Blackstone vis a vis U.S. Law) and Emmerich de Vatel (The Law of Nations).
The Donofrio "Natural Born Citizen" Challenge
Zarodinu why don't you do us the favor of excerpting and posting what you deem most relevant from John Jay? And yes, welcome to FR.
IV. CONCLUSION
If the eligibility of a presidential candidate born outside the territorial United States were challenged under the natural-born citizen clause today, the outcome, based on traditional methods of approaching the clause, would be unpredictable and unsatisfactory. This Note's approach removes the confusion caused by Supreme Court dicta asserting that there are only two classes of citizens, native-born and naturalized. As historical and textual analysis has shown, a citizen may be both "naturalized" and "natural born." Under the naturalized born approach, any person with a right to American citizenship under the Constitution, laws, or treaties of the United States at the time of his or her birth is a natural-born citizen for purposes of presidential eligibility.