Cook cornmeal to make 1 cup cooked according to package directions. cool slightly. In a medium bowl, combine the cooked cornmeal, 1 cup flour, 1/2 cup raw cornmeal, 1/2 cup mashed potatoes, 1/2 cup chopped shallots, 2 teaspoons baking powder, 1 1/2 teaspoon salt, 1/2 teaspoon pepper and mix well. Beat 1 egg and mix in until evenly blended.
Pour salad oil to depth of 1 inch into deep skillet or large saucepan. Heat to 350 degrees on deep fat frying thermometer. (Or heat in electric skillet set at 400 degrees.) Shape mixture into 1 1/2 inch balls. Drop into hot fat and fry until golden, turning to brown evenly. Makes 30 to 40.