Royal Navy H Class destroyer HMS Hunter was one of five destroyers of the Second Destroyer Flotilla which attacked ten German destroyers during the First Battle of Narvik on 10 April 1941. The nomenclature is somewhat confusing. Many historians refer simply to the naval engagements for control of the port of Narvik as “the Battle of the Narvik”.
Yet there were two distinct engagements, one on 10 April 1940 and another on 13 April 1940, each different in character from the other. Hence the meticulous Captain Peter Dickens, RN (a descendent of Charles Dickens),who wrote Narvik: Battles in the Fjords, the best book on the subject, specifically references the engagements the first Battle of Narvik and the second Battle of Narvik.
Given that he interviewed many of the surviving participants, both British and German, and given that he was a contemporary of these men and himself served with distinction in the Royal Navy in World War Two, including Norway (although not in the Narvik battles), I use him as the final authority on the subject.