Lot of strange things about that gun. No PARKER GUN WORKS, OVERLOAD PROVED stamps on the barrel flats. Doesn't have the grade gauge and chamber length on the left side of the lug that one would expect this late --
242111 05.jpg
This is my 16-gauge VHE with a date code of XJ (yellow arrows) --
241968 01a 26-inch, 16-gauge, XJ X = December, J = 1940.jpg
The barrels of the gun in question have a date code of XK X = December K = 1941
Also, as can be noted on my gun the serial number and choke marks are normally on the barrel flats on these very latest guns.
It also appears there was a repair code on the barrel flat, ?H3, but I can't read the first letter. H would be 1939 or 1961 neither of which make sense.
Here is a barrel flat a couple of digits lower with everything we would expect on a very late gun --
242301 01 VHE Trap Gun, 30-inch Vent Rib, XK X = December, K = 1941.jpg
with also a number of repair codes.