I believe your 2x(?) greatgrandfather Joseph TRIM was the brother of my 3xgreat-grandmother Mary TRIM, and both were children of Joseph TRIM and Jane EWENS who were married 27 Jul 1797 at New Fishbourne Sussex.
Joseph's baptism is recorded on 30 Oct 1797 at Fishbourne, with a brother John bap 1799 (also Fishbourne) and other siblings baprtised in Bosham Sussex (Charles in 1809, Harriet 1812, Eliza 1814). The microfilm of the Bosham parsih registers show several quite unreadable pages around 1804-5 when my ancestor Mary was born.
Mary TRIM married John KINCH (a shoemaker from Prinsted) in 1831. They had three children but John died young in 1835. Two of the KINCH children were living with their TRIM grandparents in 1841, Mary having been widowed and sought work in Portsea.
I'd be delighted to exchange more information if you agree we are tracking the same family.