My father bought this rifle in the 1950's when he thought it might become necessary to hunt in order to feed the family. He said it came packed in cosmoline and he had to work hard to get it all out. His impression was that it had been fired very little. I thought that it was an arsenal rebuild for many years, but I started researching it and learned more info.
In the early rears of WWII, Remington was making 1903 rifles to help meet the demand that production of the Garand could not keep up with. Based on the article below, I have little doubt that this rifle is a 1903 Modified made in 1942. The cartouches on the stock are interesting because one shows it as Springfield Armory, then overstamped by Raritan Arsenal. I'm thinking that the type S stock is earlier than the rifle and perhaps came off another gun. Remington was using surplus stock blanks, so it is possible this stock was also surplus and used for this rifle.
https://www.americanrifleman.org/art...-m1903-rifles/
I know we have a tremendous amount of knowledge on this forum, so if you have more info about this rifle I would love to have it. Also, feel free to share your 1903's here.