Sift together flour, soda, baking powder, salt, ginger, cloves, and cinnamon. Cream butter and white sugar. Beat in egg and molasses. Stir in dry ingredients, alternating with water. Place applesauce in a buttered Dutch oven or other large, heavy casserole dish. Mix brown sugar, crystallized ginger, and 1/2 teaspoon cinnamon. Sprinkle over applesauce. Pour gingerbread batter over all. Bake at 350 degrees for 35 minutes, or until gingerbread is done. Serve at once.