Any markings on the top strap, like this?
this is what is on the butt of this Victory Pistol
and this is the caliber marking
Just based on the V on the butt, your pistol is a WW2 era production. I do not have an S&W in 38 S&W (not the same cartridge as a 38S&W Special). The British used the 38 S&W as a service cartridge, and with a bit of research I found this article on Victory revolvers made for the British
Classics: Smith & Wesson’s Victory Revolver in .38 S&W
https://gundigest.com/military-firearms/classics-smith-wessons-victory-revolver-in-38-sw
If you notice, the finish on wartime revolvers is utilitarian not pretty. The utilitarian parkerized finish is a better, more durable, more rust resistant finish than bluing. But, bluing is pretty. It is quite obvious a previous owner wanted a pretty pistol and had that Victory revolver blued.
As long as it shoots. You have to verify what caliber the cylinders were bored, as all sorts of crude gunsmithing went on post WW2. I have a Webley converted to 45 ACP Crude chambering job, the throat is almost straight. And a 45 ACP conversion is inappropriate as the 45 ACP operates above the proof pressures of a 455 Webley. Product liability as a legal concept was developing post WW2 and it was, for a long time, buyer beware. An unsafe product got in your hands, the legal system expected you to be smart enough to know it, and if you did not know, then Darwinian selection would take place, and the gene pool would be purified. It was not a nice world.