As you probably know, Sally Palmer said her parents were born in CT. She said she herself had been been born in Schoharie county. I agree that Broome, Schoharie, was meant, not Broome county as their former address. The Jeremiah Harris of the 1790 census was undoubtedly Jeremiah Harris (1743 - 1798) of Norwich, CT, son of Richard Harris and Lucy Smith. But since he died in 1798, he cannot be the contemporary Jeremiah Harris in Berne in 1800. It must therefore be Jeremiah Harris of Litchfield county, son of Daniel Harris & Rebecca Williams.
The father of Salman, Amanda, and Sally, et al, is Jeremiah Harris of Berne, whose probate began 10 Feb 1829, with his wife Mehitable as administratrix. The record specifically calls him Jeremiah Harris Jr.
You probably know all this by now, but I wondered if you had learned any more about Jeremiah Sr.'s children since.