When I Googled "Matthew Town", I discovered that it is one of the locations in Assasin's Creed IV. I had no idea.
In real life, this small island is home to a large Morton Salt plant and not much else. The population of 1000 people either works there or provides support services for those who do. There is virtually no tourism, so very few restaurants and not a pirate in sight.
A huge generator runs 24/7 to provide power for the town. There is a general store, a library, an abandoned prison, a police station, a gas station, an ice house, an airport, the Customs and Immigration building, and acres and acres of saltpans.