Check the sticky "To Identify Your Gun" at the top of this thread. More information is needed to help you with your grip question: caliber, barrel length, finish, lanyard ring, etc. Clear pictures of the revolver from both sides and of all markings will provide valuable information. Is the serial number you provided found on the butt below the grips? Are you sure there's isn't a "V" in there? Because the Standard Catalog of Smith and Wesson Says the S serial Prefix ran from 1946 to 1970 and ended with S333454. How did you arrive at the 1945 date?
I suspect you may have what's known as a Victory model. S&W made these during WWII in .38 Special caliber and (usually) a four inch barrel for use by US contractors and rear echelon troops. They also made them in .38 S&W caliber with (usually) a five inch barrel for export to England. But a Victory would have a "V" in there somewhere.
S&W did not, to the best of my knowledge, make the grips you describe. Again, pictures. Once we determine what your revolver is, we can recommend sources of grips. If you want period correct grips, they occasionally show up on auction sites or in some cases reproductions are available. I've been using the term "grips." S&W refers to them as "stocks."
DeWalt posted while I was typing. He knows more about these revolvers than I do, so take his advice