Preheat oven at 400 degrees.
Core apples (do not peel). Put through food processor.
Cream butter, sugar and egg. Add apples and mix well. add dry ingredients.
Spoon into buttered glass dish or souffle glass dish and bake for 30 to 35 minutes in a water bath.
Serve with rum sauce.
Combine butter, sugar and cream in a saucepan.
Cook over low heat 8 to 12 minutes, then add vanilla and rum.
Cool and serve with cake.