the left pier did
Pier 54 in New York.
the RMS Carpathia
Without knowing the specific context of the question I cannot answer the question. However, the responsibility of the ship (i.e. the Master of the ship) is to take the survivors to a safe port. Very often it is the next port of call that the ship was destined to call as a part of her trading activity. Thus, unless faced with the need for emergency medical assistance, survivors generally travel with the ship.
The RMS Carpathia. Wikipedia is your friend.
The Carpathia helped rescue the survivors of the tragic Titanic shipwreck.
The US Navy did not send any ships to rescue survivors. All survivors of the Titanic were recsued by the Carpathia, a passenger/cargo ship.
The survivors of Titanic were rescued by Carpathia.
Carpathia arrived at 4am to pick up survivors.
The Carpathia and The Californian but only the Carpathia moved to rescue the survivors.
The rescue ship was the Cunard-Line Carpathia who was captained by Arthur Rostron.
We boarded the ship at the pier.
A ship would not be 'anchored' at a pier in the nautical sense of anchoring. It would be 'tied' with hawsers (large ropes) to cleats on the pier.