hi, i believe I have found the cook book you are looking for,
Brownie Pudding, 1 cup sifted all- purpose flour, 3/4 cup granulated sugar, 2 tablespoons cocoa, 2 teaspoons baking powder, 1/2 teaspoon salt, 1/2 cup milk, 2 tablespoons salad oil, 1 teaspoon vanilla, 3/4 cup chopped walnuts, 3/4 cup brown sugar, 1/4 cup cocoa , 1 3/4 cups hot water. Sift together first 5 ingredients: add milk, oil, and vanilla; mix till smooth. Stir in nuts. Pour into greased 8x8x2-inch baking pan. Combine remaining ingredients; pour over batter. Bake at 350 for about 45 minutes , makes 6 to 8 servings......