Hello Holly, I don't have much information Rev Jason Lathrop. I started a search on him when Henry Smith of Deerfield, Oneida Co. NY when I learned that Henry's first son was named Jason Lathrop Smith. He ended up in Wisc.
There's a gal in Madison Co. who knows more about him. I'm trying to find her name and email address for you. I'll keep looking.
I also traced a Jason Lathrop many years ago to a dead end.
Not much help am I? The Rev. Jason did reside in Newport, Herkimer Co, NY for a time.