William Wildman Shute Barrington, 2nd Viscount Barrington (January 5, 1717 — February 1, 1793), eldest son of the 1st Viscount Barrington. Succeeding to the title in 1734, he spent some time in travel, and in March 1740 was returned to parliament as member for Berwick-upon-Tweed. Having taken his seat in the Irish House of Lords in 1745, he was appointed one of the lords commissioners of the admiralty in 1746, and was one of the "managers" of the impeachment of Simon, Lord Lovat.

In 1754 he became member of parliament for Plymouth, in 1755 was made a privy councillor and secretary at war, and in 1761 was transferred to the office of chancellor of the exchequer. In 1762 he became treasurer of the navy, and in 1765 returned to his former position of secretary at war. He retained this office until December 1778, and during four months in 1782 was joint postmaster-general. He married in 1740 Mary, daughter of Mr Henry Lovell , but left no children.

William Wildman Shute Barrington died at Becket and was buried in Shrivenham church .

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Henry Fox | width="40%" style="text-align: center;" |Secretary at War
1755–1761 | width="30%" |Succeeded by:
Charles Townshend

|- style="text-align: center;" | width="30%" |Preceded by:
George Grenville | width="40%" style="text-align: center;" |Treasurer of the Navy
1762–1765 | width="30%" |Succeeded by:
The Viscount Howe

|- style="text-align: center;" | width="30%" |Preceded by:
Welbore Ellis | width="40%" style="text-align: center;" |Secretary at War
1765–1778 | width="30%" |Succeeded by:
Charles Jenkinson

|- style="text-align: center;" | width="30%" |Preceded by:
Henry Frederick Carteret | width="40%" style="text-align: center;" |Postmaster General
1782
(jointly with Henry Frederick Carteret ) | width="30%" |Succeeded by:
The Earl of Tankerville
and Henry Frederick Carteret