Preheat oven to 375.
In a large frying pan, cook ground beef in it's own fat; add green pepper, onion, & celery,& saute until beef is brown & veggies are limp. Stir in tomato sauce, water, vinegar, garlic, mustard, tyme, brown sugar, and salt & pepper to taste. Simmer together for 5 mins. Turn pork and beans into a greased 1 1/2 quart baking dish; spoon meat mixture over the top. Bake in a 375deg oven for 45 mins.