You guys got to quit playing fast and loose with the term "Magnum" in relation to North American shotgunnery. The first time our North American manufacturers used the term "Magnum" for a shotgun and/or shotgun shell was in 1932 with the introduction of Ithaca's NID Magnum-10 and the Western Super-X 10-gauge 3 1/2 inch Magnum shell for it.
I wish I knew how to post pictures off my iPhone. I have a picture of the barrel lugs that looks factory original. Under one barrel it clearly shows a JG in an oval and 3 in. MAG. the middle has a 12 sideways 2; the other barrel has a V in a circle, HT over A and a large 4 smaller 2.
I assume the 4-2 is the barrel weight, V = V grade, HT over A proof marks? Anyway, this looks to me like a later Parker that truly is a 3 Magnum.