Hi retherwa and welcome to the S&W Forum.
Sorry for the loss of your grandfather.
Your grandfather's revolver is a .38 Military & Police model that probably shipped in early 1955 or late 1954. Serial numbers very close to yours were shipping at that time.
Yours has the common 4" barrel and the nickel finish. The pearl stocks are not original and don't fit well. Maybe someone else can suggest some way of repairing them, but my opinion is it would not be worth the trouble. You can go on eBay or Gun Broker or a similar site and find the original style checkered walnut Magna stocks that would have come with this gun in the mid-1950s.
The style you want is K frame PC Magna stocks with the smooth diamond around the screw location. The following picture shows what they look like,
except this pair is too new to have the smooth diamond.
(Note the rounded bottom shown in the second picture.)
This is a different size revolver, but the picture shows what the diamond looks like.
I hope all this helps you.
Jack