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I don't have my reference material with me, but the sans-serif proof "P" indicates Harrington & Richardson origins. I am sure a more knowledgeable individual will chime in.
I would think H&R or Springfield. Has a DOD mark (post WW2 after about Nov-Dec '53) but no Julian date stamp in the barrel channel or sharp comb that would signify an IHC (type 1), or the RH relief cut present on both the type 1 and 2 IHC stocks. The sans serif "P" is found on Arsenal Check & Test rifles and Arsenal rebuilt rifles. It was also the firing proof on M1D rifles. IHC and HRA rifles produced after about Nov '53 used it as well.
Not Winchester for sure. They stopped making M1's Sept '45 I believe. Your stock has a DOD/DA stamp that were in use from late '53 onwards. H&R or Springfield for sure.