Thank you guys for the information. I have attached a picture of the hall marks contained in this outer case. Some amateur repairer tried to fix this case. The inner case is as bad as the outer case. It shows the Exeter mark and a large A. I have not had time to look up the year.
That's a great set of hallmarks, Harold, and Ron has hit it on the button yet again
The marks are for Chester 1797, and the casemaker is John Ellison of Liverpool, who was known to be working between 1794 and 1808. Given also that yours is a pair case (which would make a recase even more unusual than normal, I think), you can be pretty sure this is the original case and therefore your watch is dated 1797.