A .44-40 is the original cartridge for the 1873 and later Winchesters.
It was used as the basis for the .44 Shot and .44 Game Getter; kind of ancestors of the .410 bore shotgun. History at
http://www.fourten.org.uk/mwpre410.html
Unfortunately, .44 Shot has not been loaded in a long time and it is probably not strong enough for .410s.