I parked here for 2-3 nights no problem over the weekend. On Monday I parked in the lot on the other side of the street, for the beach park, and a trooper came at 1am and nicely kicked me off the island. Said no parking overnight anywhere on the island unless you are a resident or guest of an establishment. So maybe they don't patrol on weekends? There are some truck stops off the island, or you can park in downtown Brunswick 24hr Bathrooms, beach showers, and water fountain with a bottle filler across the street and through the parking lot on the left of the hotel.