I think poor Jessup was (like my father in law) given two family surnames as forenames.
Not sure if any of these of help .....
Jessup Rust Weeding christened at Shottisham 27th March 1822 son of John and Charlotte Weeding.
Jessup Weeding b1822 d1822 St Margaret's Shottisham (National Burial Index).
A John Weeding of Trimley 1881 census, living in Winthorpe, Newark, Notts age 69 with wife Frances.
Death of John Jessup R. Weeding in Yorkshire? 1886 at the age of 74
Marriage of Jessup Weeding JanuaryQ 1838 in Stepney, London
Followed by Jesup Weeding - New York Passenger and Immigration Lists 1820-1850
Unfortunately I can't look this one up for you, it would have to be someone with a world wide subs to that famous web site beginning with 'A'

SM ...