The rifle shown was a 1936 purchase from the NRA/DCM, and was a new service rifle. In 1936 you could order the S type stock, or for a dollar and change you could get a C type stock. Springfield just changed the the original S stock to the C stock for a 1903A1. The only place I am aware of mistakes being made in the DCM Sales records involves the NRA Sporter. Occasionally a correct Sporter will show up with a serial number right in the middle of a group of consecutively numbered Sporters, but will not be listed.
Without confirmation of sale, your rifle remains a surplus Model 1903.