Proof Stamp Question

I have run across a proof mark on an M1 grip that looks to be double stamped with two different proof "P" stamps. Neither appears to have the serif. Would this indicate an older original stock that was reworked but of correct time period, or where someone tried to create a forgery?

The second picture is of another M1 with a SA/GAW cartouche. I just wanted to attach it to see what people thought. To me, the GAW appear to be real but the lower end of the left cannon on the ordinance wheel seems to be of odd shape. I have not seen enough real cartouches, nor know enough to make a good judgment call. If anyone has any experience and is willing to share, I would be more than happy to listen and learn.

p.s. - I have studied Rick B's awesome post on inspection stamps

Thanks you

Not a proof mark. Proof marks are invariably stamped on the pressure bearing parts such as the barrel and the bolt, not on the wood.

Could be an inspection or acceptance mark?

No, it's evidence that the rifle passed the high pressure proof firing. More than one results from a retest after rebuild.

Thank you for the replies and the great information

The M1 rifle barrel is proofed but the stock also receives a P in circle proof. The original P in a circle proof was without any serifs until early 1940 when serifs were added to the stamp.

When barrels were changed the stock received another proof stamp which was without the serif P (like this early one)

photo shows an Winchester stock with firing proof in circle with serif P and another second firing proof with a plain non serif P in circleAttachment 110869

The trigger guard relief cut seems to me a dead giveaway that the stock is WRA. The cut looks arrow shaped.

What makes this stock really interesting to me is that it is a no trap WRA stock with two proof firing stamps. It was re-barreled and proof fired a second time but still remains no trapAttachment 115025Attachment 115024

As long as we are discussing stock proof marks, how about the mysterious "duck foot" found on some late NMs? Because of its location and late use, I speculate that it is evidence of a second high-pressure firing after repair of some kind. IMHO it's possibly a Rock Island stamp applied after SA closed, but that's pure guesswork.
Attachment 115053