Howdy
It actually might be a very worn Victory Model. Here is the butt of a Victory Model with the V way over on the other side of the lanyard hole. I think I can see the vague remnants of a V on the photo of the butt in the OP's photo. You can also see where a lanyard hole has been filled in. You can see this one also has the 'flying bomb' indicating it was issued to the US government.
The Victory Model was a standard S&W 38 Military and Police revolver chambered for 38 Special, made during World War Two. Because of the rush to crank out as many as possible, they did not have the usual deep polish and lustrous blue that S&W put on their other revolvers. Some were Parkerized and some had a matte finish. The Victory Models sent to England were usually chambered for 38 S&W rather than 38 Special. After about SN V 769,900 a newly designed hammer block was installed in the Victory Models and the SN had a SV prefix to indicate they had the safer hammer block in them. Barrels were usually 4", 2" barrels were scarce.
But frankly, that revolver is in such poor condition that it really is not worth putting much money into it, even if the 2" barrel is original, which it may not be. If I was going to undertake to restore it the first place I would look for parts would be Numrich Arms.
https://www.gunpartscorp.com/
And I would buy Jerry Kuhnhausen's book about S&W revolvers, so I knew what I was doing. This is the best book on the market for working on S&W revolvers.
http://www.gunbooks.com/sw.html