Heat the oil in a large skillet.
Sauté the onions and celery until soft.
Mix in the pork and beef. Cook until evenly browned. Do not drain the liquid.
Transfer the pork and beef mixture to a large pot over low heat.
Stir in the chopped chicken, tomatoes with liquid, ketchup, and barbecue sauce. Season with salt and pepper.
Cook, stirring occasionally, 1-2 hours until thick.
Stir the cream-style corn into the stew. Cook for an additional hour before serving.