Fork split biscuits or English muffins and toast until golden brown. Form hamburger into two patties. Fry until done. Let cool until you can handle. Split in half lengthwise. Place one half on each English muffin. Top with cheese slice. Add enough butter to have 3 tbps melted grease in the bottom of the pan. Add flour and cook 3-5 minutes, stirring constantly. Add milk in stages until it is thick and creamy and cook until it reaches a full boil. Set aside. In another pan, fry eggs until they are sunny side up. (Poached eggs may be substituted for fried eggs.) You will want the yolks runny. Place on top of the hamburgers. Pour the gravy on top and serve. (Optional: melt one to two slices of cheese into the gravy before pouring over the eggs.