Welcome. Appears to be a nice serviceable VH-Grade Parker Bros. shotgun. You can't see the rib legend because it has been covered by a Simmons ventilated rib installed on top of the original rib.
125830 01 Rib Legend.jpg
The K
f marking appears to be the steel type marking on the barrel flat of the early vintage VH-/VHE-Grade guns.
129001 01 1 1-2 frame 16-gauge.jpg
From my rather limited observations the K
f marking was in use into the 1336xx serial number range. VH-/VHE-Grades had a V or a V in a circle steel type marking beginning by the 1350xx range.
56213 11.JPG