The Gretchen is a sloop owned by the so-called governor of Tortuga, Andrew Bowdash. The ship was named after the love interest of Bowdash, and was originally going to be given to her. However, John Smith "borrowed the ship without permission". While sailing, it clashed with a Navy Panther and was heavily damaged. John had to dock it on Driftwood Isle, or else it would have sunk. You will have to help John rebuild it in The Black Pearl Crew Story Quest.