I’m just throwing this out there as a possibility:
This almost looks like one of the “Less Scope” rifles that may have been later fitted with another No4T rifles butt and one of Roger’s mounts. It would be interesting to know what rifle serial number is on the socket area of the buttstock.
I know most people associate Savage rifles with the “Less Scope” variant but I recently sold a No4T that had every correct “T” mark less the T and scope number on the butt.