The Germans opened fire first at 3:48, followed by the British. The British ships were still in the process of making their turn as only the two leading ships, Lion and Princess Royal, had steadied on their course when the Germans opened fire. The two battlecruisers engaged Lützow, the leading German ship, while Derfflinger targeted Princess Royal. The German fire was accurate from the start, with two hits on Princess Royal within the first three minutes. British gunnery was less effective; the range was incorrectly estimated as the German ships blended into the haze. Princess Royal 's 'A' turret stopped working effectively early in the battle: the left gun was rendered inoperable when the breech pinion gear sheared, and the right gun misfired frequently.About 6:22, Princess Royal was hit by two 305-millimetre (12.0 in) shells fired by the battleship Markgraf; one of these disabled 'X' turret and the other penetrated the ship's side armour. Along with the rest of the battlecruisers, Princess Royal reached Rosyth Dockyard in Scotland on the morning of 2 June, and she immediately received temporary repairs over the next eight days. She then sailed for Plymouth, where permanent repairs were completed on 15 July, and returned to Rosyth by 21 July. Princess Royal was hit nine times during the battle—six times by Derfflinger during the "Run to the South", twice by Markgraf during the "Run to the North", and once by Posen just after II Battle Squadron appeared—with 22 killed and 81 injured. The battlecruiser fired only 230 13.5-inch shells during the battle, as her visibility was often impaired by the funnel smoke and fires aboard Lion. She was credited with three hits on Lützow and two on Seydlitz.
http://www.jutlandcrewlists.org/princess-royal
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Born 1896
Royal Navy J31615 Able Seaman HMS Princess Royal
Born 1878
Royal Navy Signal Lieutenant
Royal Navy Signal Boatswain HMS Princess Royal
Born 1900
Died 1964
Royal Navy Captain
Royal Navy Midshipman HMS Princess Royal
Born 1887
Royal Navy Commander
Royal Navy Lieutenant Commander HMS Princess Royal
Born 1874
Royal Navy 341099 Shipwright 1st Class HMS Princess Royal
Born 1882
Royal Navy 344274 Chief Armourer HMS Princess Royal
Born 1897
Royal Navy J32141 Able Seaman HMS Princess Royal
Born 1882
Royal Navy 341602 Ship's Steward HMS Princess Royal
Born 1884
Royal Navy 311538 Stoker 1st Class HMS Princess Royal
Born 1889
Royal Navy 211839 Royal Marine Artillery
Royal Navy 211839 Corporal Royal Marine Light Infantry - HMS Princess Royal
Born 1896
Royal Navy K22879 Stoker 1st Class HMS PRINCESS ROYAL
Born 1885
Died 1942
Royal Navy 209191 Petty Officer HMS PRINCESS ROYAL
Born 1892
Royal Navy 1/1772 Royal Naval Division - Howe Battalion
Royal Navy 1/1772 Able Seaman RNVR Clyde - HMS Princess Royal