Significance of two proof marks together on the barrel of a Model 1903? | Winchester .22 Rim Fire | Forum

I have a Model 1903 serialized about 1916, serial 94480, that has TWO proof marks on its barrel just in front of the receiver. The first mark is a circled P and the 2nd mark which actually appears to slightly overlap the circled P is a circled PW. Can anyone explain what these two marks together signify? There is also a circled PW mark on the receiver.

If I recall correctly, Schwing says that a Model 90 with a circled P on its barrel indicates that it is a Winchester barrel not installed by the factory and that barrels installed at the factory bore a circled PW mark. If these two marks have the same meaning on the 1903, why both marks on the same barrel?

Sorry I don't know how to post a photo; however, the gun is pictured in Madis at p. 547. That photo, however, does not show the proof marks on the barrel and simply describes the gun as having a bird's eye maple stock and nickel plated receiver.

Thanks for any insight you may be able to provide re these markings being together.

Rick