1. Place chicken in a plastic bag set in a deep bowl. For marinade, stir together buttermilk, oil, shallots, lemon peel, lemon juice, chile powder, thyme or rosemary, and 1 tablespoon salt. Pour over chicken; close bag. Chill 4 hours, turning bag occasionally. Drain chicken, discarding marinade.
2. Stir together eggs and 2 tablespoons water; set aside. For the cornmeal crust, combine Parmesan cheese, cornmeal, bread crumbs, and snipped fresh parsley in a shallow dish. Dip chicken into egg mixture, then into the cornmeal mixture.
3. Place prepared chicken in a well-greased shallow baking pan. Drizzle with melted butter or margarine. Bake in a 375 degree F oven about 1-1/4 hours or until chicken is no longer pink and coating is crisp and golden. Makes 8 servings.