Melt butter in a small saucepan over medium heat. Whisk in flour. When thoroughly blended, slowly add milk, stirring constantly. Cook until thickened. Stir in cheese. Add eggs to sauce and stir until heated through. Serve over toast.
Makes four servings.
Notes: If nothing else, use the method in this recipe for boiling eggs. They turn out perfectly every time! Otherwise, this simple creamed egg recipe is good on its own. If you prefer to dress it up, then there are lots of suggestions in the comment section of the allrecipes link. The additions we use most often are garlic salt, dry mustard, pepper, and/or onion powder. We also change things up by toasting English muffins instead of regular bread from time to time.