Hi everyone,
I haven't been on RootsChat in a bit, and thought I would provide an update on my search. I ordered John Kinsman Evans' death record from the GRO. I had last found him on the 1851 census but he didn't die till 1873. The death record did turn out to be him (easier to locate with his full middle name!) and he was living at 1 Old Town in Bideford when he died, his death reported by William Copp, who listed the same address. I used FindMyPast's census address search to discover that he was living with the Copps in 1871, but listed on the census as John Kinsman. Both the death record and the 1871 census also list his occupation as "Chelsea pensioner," so I am now about as sure as one can be in genealogy that he really was one. However, I still have not located his file. I did use the new records to determine that John's daughter Jane was William Copp's wife.
I had also been unable to locate him on the 1861 census, and I used this new information to determine that he was not living with the Copps then. A general search for John Kinsman also turned up no candidates. So I remain unsure where he was in 1861.
Thanks again for all your help on this, everyone.