Between 1785 and 1790 Massachusetts passed a number of naturalization acts. In those acts they used the terms natural born citizen or natural born subject.
For example:
1786 - natural born citizen
https://archives.lib.state.ma.us/bitstream/handle/2452/104291/1786acts0019.pdf?sequence=4&isAllowed=y
1787 - natural born subject
https://archives.lib.state.ma.us/bitstream/handle/2452/104360/1786acts0088.pdf?sequence=4&isAllowed=y
I’ve seen postings long ago by a fellow named Zoltan who was a highly educated, trained, and expert political scientist and sociologist, aka social engineer, that used to hangout a lot at TheFogBow with the Hammer & Sickle emblazoned ball-cap wearing fellow named Foggy, aka Grumpy, to some of the other members in that site. Is that you Mr. 4Zoltan, the political scientist from TheFogBow group? If so, long time no chat. Is Foggy still wearing his red Hammer & Sickle ball-cap?
Got anything prior to 1776? Once the government started using the term, it is not remarkable that states would follow suit.