Core each apple, making a large cavity for filling.
Crush the gingersnaps into crumbles but not into powder.
Combine crushed gingersnaps with butter and currants.
In a separate bowl, combine the applesauce and rum.
Fill each apple with the gingersnap mixture, pressing firmly. Add enough gingersnap mixture to form a “mound” on each apple.
Place apples in a lightly buttered baking pan.
Spoon the applesauce and rum mixture around each apple for the sauce.
Bake for 30-40 minutes. Apples are ready when pierced easily with a sharp knife. Serve warm or at room temperature topped with a spoonful of whipped cream.