All I can add to this discussion is my 5th great grandmother:
Jean Henry b. 1750 married:
Henry Matthias Johnson/Johnston somewhere in central NJ.
They had at least one child:
Elizabeth Henry Johnston b. 1778 in South Amboy, Middlesex County, NJ - died 1 May 1866 in Monroe Township, Middlesex County, NJ.
On 14 Feb 1801, in Hightstown, Mercer County, NJ, she married Abraham Lott.
He was born 1771 in South Amboy, Middlesex County, NJ and died 1 Aug 1845 in Cranbury, Middlesex County, NJ.
Major caveat in that there is not much in the way of sources on Jean Henry directly except other family trees. I've tried researching her in other places like familysearch.org and others without much success.
Any and all additional sources are welcome. Thanks!
But the locations above are not very far from New Brunswick. South Amboy "territory" in the late 1700's included areas very nearby. Monroe Township, Cranbury and Hightstown are very close to one another as well.