A little "general info", just in case you (or anyone else) might be interested.
Colt had that nice lucrative Army contract making 45 Single Actions. Smith tried to get some of that, with their Schofield, abut it did happen like they hoped.
Later, in the 1890s, when the Army modernized their pistols, they stayed with who they knew, and got Colt double action revolvers, in the "powerful 38 Long Colt" chambering.
During the Philippine Insurrection, they found out the when a Moro got hopped up on bhang, and went amok, swingin' their kris, that 38 Long Colt would not stop them. The Army quickly reissued the old 45 Single Actions, and started looking for a NEW caliber.
Smith and Wesson took the 38 Long Colt and made the case longer, allowing them to put in more powder. They also put on a heavier bullet, and called their new cartridge the "38 Smith and Wesson Special". They invented a brand new double action swing-out cylinder pistol, for this new cartridge, and called it the "38 Military and Police", because they had great hopes of selling it to the Army and making lots of Government Contract money. That did not happen, as the Army wanted an automatic, and went with the John Browning designed 1911 Colt.