In a large skillet, melt 1 tablespoon butter over medium heat; stir in the potatoes, sausage, green and red peppers, salt and cayenne. Cover and cook for 12-14 minutes or until potatoes and vegetables are tender, stirring occasionally. Stir in cheese.
In a large skillet, fry eggs in remaining butter as desired. Sprinkle with pepper. Serve with hash and pepper sauce if desired. Yield: 4 servings.