Small caliber, single shot rook and rabbit rifles were made in very large quantities in the 1880s. they can be hammer or hammerless actions.
single shot shotguns were commonly made as hammer guns in the 1870s and 1880s and are usually with a stub-twist barrel, Jones under-lever and single back-action sidelock. they used to be very cheap but have trebled in price in five years.
16-bores are common as single barrels in this period. Later singles, made as 'cheap and cheerful' tractor guns, like the BSA Snipe, made from WW2 until the 1980s are very easy to find and very cheap to buy at provincial auctions.