The correct answer is C) The engine room. The engine room should be notified prior to starting up a crane because the crane's operation can impact the ship's engine and propulsion systems. Proper coordination between the crane operator and the engine room is crucial to ensure the safe and effective operation of the crane without interfering with the ship's overall operations. The other options, such as the pumpman or the stevedore foreman, are not directly responsible for the ship's engines and propulsion, and therefore do not need to be notified before starting up the crane.