In Gore's 1790 + 1796 directories there was a Thomas Cain tailor 23 drury lane then 10 lord st but there were 3 or 4 other cains in both directories - there were a number of Sprostons most it seems concerned with the cheese trade in 1796 (not in 1790 tho there are 3 entries for that year.

It may well be worth looking at BMDs in Liverpool papers are you have a good idea of year of birth + marriage