From Mary Lennons great website
http://www.lennonwylie.co.uk that always needs donations
In 1880
47 Campbell, Thomas, ship carpenter, in Short Strand
In 1877
Campbell, James T., cabinet maker, 27 Elm Street
Campbell, Jas., ship carpenter, 99 Short StrandCampbell, James, carpenter, 54 Theodore Street
In 1861
36 James Campbell, carpenter. In McTIER STREET
runs Shankill Road to Old Lodge Road
In 1852
7. James T. Campbell, cabinet maker in Ann Street runs
Corn Market to Queen's Bridge
From
http://streetdirectories.proni.gov.uk/In 1884
47 Campbell, Mrs Jane, in Short Strandso James has died or left
In 1870
Campbell, Jas., ship carpenter, 37 Short StrandIn 1865 no mention of James but unnumbered list
Campbell, Thomas, ship carpenter, in Short Strand
one could narrow down between 1865-1870 when he arrives.
Have you exhausted familysearch.com, and PRONI.
For James and William Burials might exist e.g. Belfast city cemetery, Clifton St and Millfield mainly catholic not easily searched yet.
Williams birth seems important was he born 1831-34.
Good luck onwards JimG
good luck onwards