Heat a skillet, and fry an egg in 1 tsp. melted butter.
Toast the English muffin. Once toasted, spread 1 tsp. butter over both muffin halves.
Take each muffin halve, place a slice of cheese on top, and place under the broiler for around 1 minute to melt the cheese.
Remove from the oven. Place the fried egg on one of the muffin halves, and place the remaining muffin half on top of the egg.