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 1892
Royal Navy J5864 Able Seaman HMS Princess Royal
Born 1894
Royal Navy K18209 Stoker 1st Class HMS Princess Royal
Born 1879
Died 1919
Royal Navy Artificer Engineer HMS Princess Royal
Royal Navy Acting Artificer Engineer
Royal Navy Engineer Lieutenant
Born 1885
Royal Navy 305179 Leading Stoker HMS PRINCESS ROYAL
Born 1883
Royal Navy 10457 Royal Marine Artillery
Royal Navy 10457 Gunner Royal Marine Artillery - HMS Princess Royal
Born 1888
Royal Navy 311757 Leading Stoker HMS PRINCESS ROYAL
Born 1884
Royal Navy 211519 Able Seaman HMS Princess Royal
Born 1894
Royal Navy 16544 Royal Marine Light Infantry: Portsmouth Division
Royal Navy 16544 Private Royal Marine Light Infantry - HMS Princess Royal
Born 1891
Royal Navy J46112 Ordinary Seaman HMS Princess Royal
Born 1884
Royal Navy 210069 Able Seaman HMS PRINCESS ROYAL
Born 1883
Died 1966
Royal Navy 7/1065 Petty Officer (G) RNVR London - HMS Princess Royal
Born 1891
Royal Navy K15027 Stoker 1st Class HMS Princess Royal
Born 1887
Royal Navy K12997 Stoker 1st Class HMS Princess Royal
Born 1898
Royal Navy J35523 Ordinary Seaman HMS Princess Royal