Before you leave, cook the eggs (one or two per muffin) in a bowl or cup the same size as the English muffin in the microwave. Place the eggs in a sandwich bag. If your sausage patties are not pre-cooked, you can pre-cook those at home as well and put them in a sandwich bag as well.
At camp, toast the English muffns on the grill. Warm up the eggs and sausage. Place one egg round and one sausage patty on half a muffin. Add a slice of cheese. Top with the other half of the muffin. Enjoy!