Location. La Conne Motel Corning is located in the midtown area of Corning. Property Features. La Conne Motel Corning features laundry facilities and RV and truck parking. Complimentary wireless Internet access is available in public areas. Guest parking is complimentary. Guestrooms. Air conditioned guestrooms at La Conne Motel Corning feature hair dryers and irons/ironing boards. Refrigerators, microwaves, and coffee/tea makers are offered.