Combine the flour, salt, and pepper and set aside.
Beat the egg with 1teaspoon oil, the water, salt, and pepper.
Coat the fish pieces all over in the seasoned flour. Dip them well in the egg, then coat them all over with crumbs.
Heat the remaining 3tablespoons oil and the butter in a heavy skillet. Cook the fish pieces until golden brown on one side. Turn and cook on the other side, basting frequently with the oil and butter in the skillet. Cooking time may range from 10 to 15 minutes, depending on the thickness of the fish.