Oh, it's not a ship; rather, she is stuck in the gross meaty mindscape of Raphael Ambrosius Costeau and is in the backseat of his mind, having to figure out how to keep him alive long enough to reach the end of the day, since whenever he dies, she is sent back to the beginning. It's really just a very long, very unpleasant day that she is forced to relive over and over again until either she or this Servant of Al Gul manages to not fuck things up enough to live until another day.
The point is for her to suffer what I can only imagine is a terrible fate for a fashionable young woman, which is to be stuck in the mind of a complete and utter failure who hit the lowest point possible and having to manage to make him into something halfway decent so she doesn't have to be stuck inside it any longer than she has to.