We can probably find a dictionary from 1787 and find that the words Native and Natural were clearly differentiated in that time, just as they are today.
I think we both know that those words predate the formation of our country by a very long time. They would not have both come into existence in the language if there were not a need to differentiate the two separate classes of being.
“Dog, Canine, pooch.”
All synonyms for the same thing. Not so with the two words we’re discussing, which are two distinctly different things.
Native and natural seems to come from early French edition of Vattel used by the Founders. The words can be traced to Justinian.
Naturels used by Vattel..and translated by the Framers to natural.
Go find that 1787 dictionary. You'll see that in some contexts, the two terms are synonyms. In fact we've been through that exercise, with the complication of translation from French. We used the "Royal Dictionary of French and English and English and French" 1729 edition, I think.
But the net result was that either of the two words used in Vattel, naturales or indigenes, could be translated as "native" or "natural born". And in fact that what the 1797 translation says:
"The natives, or natural-born citizens, are those born in the country, of parents who are citizens."
When you say "A or B, are C. the only way that makes sense is if A & B are synonyms.