Bill,
I just talked with my friend and he said that the little store in Cokeville use to make Hamburger and package for you, but they did not process or butcher game. They were an older couple and no longer have the place.
Gary said that either go to Thayne Meats or over to Montpelier as he was not sure if Kemmerer had a place or not. I do know that the Grocery store in Afton does game, but how good it is I do not know.
When you get there I would check out this store in Cokeville and ask first, so you have an idea where to go when you do get your deer.
There is no place called Cokeville,Idaho. There are two Sage Jct. and are about 5 miles apart, one in ID and other in Wyo. but nothing there, just a fork in the road.
Good luck,
Brian