Melt the butter and lard on a griddle or in a large saute pan over medium-high heat. Add the sweet potato, broccoli, onion and green pepper and sprinkle with salt and pepper.
Cook the vegetables until crispy, 5 to 10 minutes, tossing them around a bit as they cook.
Cook the sausage slices on another part of the griddle or in another pan over medium heat until browned, about 5 minutes. Add to the hash. Melt the remaining 1/2 tablespoon of butter on the griddle or in the sausage pan over medium heat and fry the egg in the butter. Serve the egg on the hash.
A viewer or guest of the show, who may not be a professional cook, provided this recipe. It has not been tested for home use.