On 27 March 1795 Hood's wife was created Baroness Hood of Catherington, Hampshire, in the peerage of Great Britain, and on 1 June 1796 he was himself created Viscount Hood of Catherington. On the reconstruction of the order of the Bath in 1815 he was nominated a G.C.B. Sir William Hotham [q. v.], who knew him intimately, says that ‘though he applied for leave to wear the decoration without undergoing, at his advanced age, the ceremony of investiture, it was refused him.’ On 25 March 1795 he was elected an elder brother of the Trinity House, and in March 1796 was appointed governor of Greenwich Hospital, a post which he held till his death, twenty years later, on 27 Jan. 1816. He was buried in the old cemetery of the hospital. Notwithstanding his great age, and though latterly declining in strength, he preserved his faculties to the last. ‘He was very attentive to his religious duties, and talked of and viewed his approaching dissolution with the courage of a strong mind and the hope of a religious one’ (Hotham MS.) Summing up his professional character, Sir William Hotham says: ‘I never saw an officer of more intrepid courage or warmer zeal; no difficulties stood in his way, and he was a stranger to any feeling of nervous diffidence of himself. Without the least disposition to severity, there was a something about him which made his inferior officers stand in awe of him. He was so watchful upon his post himself that those who acted with him were afraid to slumber; and his advanced age at the time he was last employed appears neither to have impaired the vigour of his understanding nor in any way cooled the ardour of his zeal. … He was exceedingly liberal, and never was nor would have been a rich man’ (ib.)
Hood's wife predeceased him in 1806, leaving issue one son, Henry (1753–1836), in whom the titles of baron and viscount merged. Besides his brother Alexander, viscount Bridport, whose career has been frequently confused with his in a very singular manner, and his own immediate relations, Captain Alexander Hood [q. v.] and Vice-admiral Sir Samuel Hood [q. v.], Hood had several relations and connections in the navy, and more or less closely associated with him. While in the Vestal he wrote, 3 Jan. 1760, recommending his first cousin, Thomas Hoskins, ‘who is about 22, and has been my clerk four years,’ for a commission in the marines. Rear-admiral Robert Linzee, who had a command under him in the Mediterranean, was his wife's brother. John Linzee, apparently another brother, served with him in the Vestal, and afterwards as a lieutenant in the Romney, with Edward Linzee as his servant; he became a captain in 1777. His own son Henry served as commodore's servant in the Romney, but seems to have quitted the navy after the first experiment.
There are several portraits of Hood. Among others, one by Abbott, belonging to the City of London, is in the Guildhall; another by Abbott is in the National Portrait Gallery; one by West, dated 1796, belongs to the present Lord Hood; copies of others by Gainsborough and Sir Joshua Reynolds are in the Painted Hall at Greenwich, where there is also a good picture by Pocock of the repulse of the French fleet at St. Kitts.