Rocky Neck State Park Rocky Neck State Park Closed After Reaching Capacity Published June 18, 2020 • Updated on June 18, 2020 at 11:36 am NBC Connecticut Rocky Neck State Park in East Lyme is closed after the parking lot reached capacity. Rocky Neck State Park, East Lyme,CT is closed due to Parking Lot Full To Capacity https://t.co/9Oh0LpnWKT— CT State Parks (@CTStateParks) June 18, 2020