There is another thread on the DIS Boards were the same question is asked.
One of the answers (mmouse37) says "Can't be certain but the things I heard yesterday suggested around 1:00 or 2:00 pm...again...nothing confirmed".
According to the marine traffic map on the NY Harbor Webcam site, the Fantasy is on the move. She has pulled away from the pier, and is making her way down the harbor.