The QE2 (you are not asking about the NEW QM2 correct?) docks in one of the available docks at the port authority facilities on the west side of Manhattan . The docks run from about 52nd St to 59th Street. (North of where the Intrepid is docked, south of the Sanitation department terminal). There are six slips so it would be hard to tell you exactly which one, but , they are all together, one right after another. You won't miss her.