Place a skillet over medium heat and cook the sausage or bacon in the skillet.
Once the sausage or bacon has started to release some of the grease, place a wide mouth canning ring onto the skillet.
Crack one egg and place the egg inside of the canning ring.
Continue to cook the sausage or bacon and remove it from the skillet when done, draining on paper towels.
Flip the egg over and allow the other side to cook. The sandwiches are served with solid, not runny yolks. When the egg has finished cooking (it should take about 30 seconds once you have flipped it over), remove it from the pan.
To assemble the sandwich, place the sausage or bacon on the bottom bun. You can break the bacon in half so it will fit the hamburger bun.
Add the egg, and then top with cheese. Place the top bun on top of the cheese.