I am related to Jacob's son George Hogel Chatterson (also shown as Gray).All I have found about Jacob so far is that he was a farmer and resided in 1852 in Northumberland Co., Canada and in 1861 in Brighton, Ontario, Canada.
I had an additional child for him--Charlotte born in 1834.
I had his wife's birth as 1812, whereas you listed 1801. Since you listed son James as born in 1817, 1801 would have to be correct.
I'm continuing research and if I find anything more I'll let you know.