Cream together 1 cup sugar and 1/4 cup butter or margarine. Stir in the grated apples and eggs. Sift together flour, salt, soda, nutmeg, and cinnamon; mix into the apple mixture. Pour batter into an ungreased 9 inch glass pie plate.
Bake at 350 degrees F (175 degrees C) for 50 minutes. Remove from oven.
Place 1/2 cup butter or margarine, 1 cup sugar, 1/2 cup cream, and vanilla in the top pan of a double boiler. Heat and stir until sugar has dissolved and butter or margarine has melted. Serve over apple cake.