Pretty much right on the money, B#. There are some contemporary builders here on this continent, but pretty much no English Park Rifles.
Britain has always put the "landed gentry" up on a pedestal,. head and shoulders above the folks that actually worked for a living. And their acres and acres of forest meadow were definitely OFF LIMITS to the plebes. They did have "game keepers", whose job was a mix - they had to keep out poachers, cull the herds of "unlovely" specimens, and pretty much know where the trophy animals were. Then he had to lead the hunt, and put the gentlemen onto the game.
Once downed, the Game Keeper had to gut, skin, carve up, tote meat back to the kitchen, hides to the tannery, and heads to the taxidermist.
But, like as not, the gamekeeper had a rifle that would be almost like the one that the landowner had, minus the ornamentation.
As has been mentioned, these forested lands, kept as a game reserve, were commonly called "parks".