Or how about mortars? I was just at Fort McHenry (really interesting, btw, definitely could inspire a great MOC) and was interested in the different types of guns used in the war of 1812. The mortars were the source of the "bombs bursting in air" of the U.S. National Anthem. This page
has some images and descriptions of different artillery in use during the American Revolutionary War - a couple of decades earlier, but pretty similar technology.