The teat-fire (or teatfire) is an obsolete type of metallic cartridge used in firearms, where the bottom of the casing had a nipple (or teat) located in the center which is filled with the priming compound.
This was advantageous, as it allowed the rear of the revolver cylinder to only need a small hole through which the hammer could reach to strike the nipple (or teat) and fire the cartridge, as opposed to a rimfire cartridge where the entire rim had to be exposed at the rear of the revolver cylinder.
The Moore Caliber .32 Teat-fire, which used a unique cartridge to get around the Rollin White patent owned by Horace Smith and Daniel Wesson, proved very popular during the Civil War, with both soldiers and civilians.
Thus, it was akin to a rimfire cartridge, but instead of having priming all the way around the edge of the rim, it is centrally located in the teat.
Moore's Caliber .32 Teat-fire Pocket Revolver proved very popular during the American Civil War, with both soldiers and civilians.