Is this the William married Eliza Jane living at Broad St Monkwearmouth in 1851 census (B 125)

1852 Poll Book
William Coxon/Greens/Joint occ of land/North farm
George Coxon/Greens/Joint Occ of land/North farm
John Coxon/Greens/Occupier of Land/Low Stead

There is a John and William Coxon farmers at Greens in the 1855 Directory.
1871 census St Paul Bristol 13 St James Sq.
William Coxo/H/M/54/Assistant surveyor/Nbl Felton
Ann M/Wf/M/53/Bristol
Mary P Armstrong/S in law/Unm/56/Annuitant/Bristol
Martha Wilkinson/Visitor/W/61/Annuitant/Bristol
Mary Clifford/serv/Unm/22/Dom serv/Wilts Corsham

Still there in 1881 with mother in law Mary Armstrong aged 66/ Governess