Preheat oven to 325 degree F. Grease and flour a 2-quart square baking dish. Set aside. In a medium bowl combine the 2 cups flour, ginger, baking powder, cinnamon, and baking soda; set aside. In a large mixing bowl beat butter with an electric mixer on medium speed for 30 seconds. Add brown sugar; beat until combined. Add egg and molasses; beat 1 minute. Add the dry mixture and water alternately to beaten mixture, beating on low speed after each addition until combined. Toss frozen berries with the 1 tablespoon flour and fold into molasses mixture. Pour batter into prepared baking dish.
Bake 50 minutes or until a wooden toothpick inserted near the center comes out clean. Cool in pan on a wire rack for 5 minutes. Remove from pan. Cool 20 minutes more. Serve with Pudding Sauce and additional berries. Makes 9 servings.
In a small saucepan combine sugar, butter, and half-and-half or light cream. Bring to boiling, stirring constantly. Reduce heat. Boil gently, uncovered, 2 minutes, stirring constantly. Serve warm. Makes 2/3 cup.