Question: The fourth Baron Derwent served in the Conservative administration of which British statesman of the Conservative Party who served as Prime Minister from October 1963 to October 1964?

Context paragraphs:
Later life of Winston Churchill: The later life of Winston Churchill documents the life of the British statesman from the end of World War II and his second term as Prime Minister of the United Kingdom, until his subsequent death and funeral in 1965.  After the end of the war Churchill had to step down as Prime Minister of the United Kingdom because the Conservative Party lost the 1945 election.  For six years he was to serve as the Leader of the Opposition.  During these years Churchill continued to influence world affairs; in 1946 he gave his Iron Curtain speech which spoke of the expansionist policies of the USSR and the creation of the Eastern Bloc; Churchill also argued strongly for British independence from the European Coal and Steel Community (which he saw as a Franco-German project as Britain still had an empire).  In the General Election of 1951 Labour was defeated and Churchill became Prime Minister for a second time.  Churchill continued to lead Britain but was to suffer increasingly from health problems.  Aware that he was slowing down both physically and mentally he resigned from the Cabinet in 1955.  However he continued to sit as an MP for Woodford until he retired from politics in 1964.  Churchill died on 24 January 1965 and was granted the honour of a state funeral.  He was buried in his family plot in St Martin's Church, Bladon near to where he was born at Blenheim Palace.

Baron Aberdare: Baron Aberdare, of Duffryn in the County of Glamorgan, is a title in the Peerage of the United Kingdom.  It was created on 23 August 1873 for the Liberal politician Henry Bruce.  He served as Home Secretary from 1868 to 1873.  His grandson, the third Baron, was a soldier, cricketer and tennis player and a member of the International Olympic Committee.  His son, the fourth Baron, held office in the Conservative administration of Edward Heath and was later a Deputy Speaker of the House of Lords.  Lord Aberdare was one of the ninety-two elected hereditary peers that were allowed to remain in the House of Lords after the passing of the House of Lords Act 1999.  s of 2017 the title is held by his son, the fifth Baron, who succeeded in 2005 and was elected to the House of Lords in 2009.

Robert Peel: Sir Robert Peel, 2nd Baronet, {'1': ", '2': ", '3': ", '4': "} (5 February 17882 July 1850) was a British statesman and member of the Conservative Party who served twice as Prime Minister of the United Kingdom (1834–1835 and 1841–1846) and twice as Home Secretary (1822–1827 and 1828–1830).  He is regarded as the father of modern British policing and as one of the founders of the modern Conservative Party.

Baron Wolverton: Baron Wolverton, of Wolverton in the County of Buckingham, is a title in the Peerage of the United Kingdom.  It was created in 1869 for the banker George Glyn.  He was the fourth son of Sir Richard Carr Glyn, 1st Baronet, of Gaunt's House, Lord Mayor of London in 1798, himself the fourth son of Sir Richard Glyn, 1st Baronet, of Ewell, Lord Mayor of London in 1758.  Lord Wolverton was succeeded by the eldest of his nine sons, the second Baron.  He was a Liberal politician and served under William Ewart Gladstone as Paymaster-General and as Postmaster General.  He was childless and was succeeded by his nephew, the third Baron.  He was the eldest son of Vice-Admiral the Hon. Henry Carr Glyn, younger son of the first Baron.  He died childless the following year aged only twenty-six, and was succeeded by his younger brother, the fourth Baron.  He served as Vice-Chamberlain of the Household from 1902 to 1905 in the Conservative administration of Arthur Balfour.  On the death in 1988 of his second but eldest surviving son, the fifth Baron, this line of the family failed.  The title was inherited by the late Baron's second cousin, the sixth Baron.  He was the grandson of the Hon. Pascoe Glyn, younger son of the first Baron.  s of 2011 the title is held by his grandson, the eighth Baron, who succeeded in 2011.  As a descendant of both the first Glyn Baronet of Gaunt's House and of the first Glyn Baronet of Ewell, he is also in remainder to these titles.

Baron Raglan: Baron Raglan, of Raglan in the County of Monmouth, is a title in the Peerage of the United Kingdom.  It was created in 1852 for the military commander Lord FitzRoy Somerset, chiefly remembered as commander of the British troops during the Crimean War.  Somerset was the youngest son of Henry Somerset, 5th Duke of Beaufort (see Duke of Beaufort for earlier history of the family).  His second but eldest surviving son, the second Baron, served as a Lord-in-Waiting (government whip in the House of Lords) from 1866 to 1868 in the Conservative administrations of the Earl of Derby and Benjamin Disraeli.  He was succeeded by his son, the third Baron.  He held office as Under-Secretary of State for War between 1900 and 1902 in the Conservative government of Lord Salisbury.  His eldest son, the fourth Baron, was a soldier and also served as Lord Lieutenant of Monmouthshire.  The fifth Baron was active in the House of Lords but lost his seat in the upper chamber of parliament after the passing of the House of Lords Act 1999.  s of 2012 the title is held by the fourth Baron's third but second surviving son, the sixth Baron, who succeeded in 2010.  As a descendant of the fifth Duke of Beaufort, Lord Raglan is also in remainder to this peerage and its subsidiary titles.

Alec Douglas-Home: Alexander Frederick Douglas-Home, Baron Home of the Hirsel, ( ; 2 July 1903 – 9 October 1995) was a British statesman of the Conservative Party who served as Prime Minister from October 1963 to October 1964.  He is notable for being the last Prime Minister to hold office while being a member of the House of Lords, before renouncing his peerage and taking up a seat in the House of Commons for the remainder of his premiership.  His reputation, however, rests more on his two spells as Britain's foreign secretary than on his brief premiership.

Baron Derwent: Baron Derwent, of Hackness in the North Riding of the County of York, is a title in the Peerage of the United Kingdom.  It was created in 1881 for the former Liberal Member of Parliament for Scarborough, Sir Harcourt Vanden-Bempde-Johnstone, 3rd Baronet.  His grandson, the third Baron (who succeeded his uncle the second Baron), was an author, poet and minor diplomat.  On his death in 1949 the titles passed to his younger brother, the fourth Baron.  He served in the Conservative administrations of Harold Macmillan and Sir Alec Douglas-Home as Minister of State for Trade and Minister of State for Home Affairs.  s of 2010 the titles are held by his son, the fifth Baron, who succeeded in 1986.

Benjamin Disraeli: Benjamin Disraeli, 1st Earl of Beaconsfield, (21 December 1804 – 19 April 1881) was a British statesman of the Conservative Party who twice served as Prime Minister of the United Kingdom, as well as a novelist.  He played a central role in the creation of the modern Conservative Party, defining its policies and its broad outreach.  Disraeli is remembered for his influential voice in world affairs, his political battles with the Liberal Party leader William Ewart Gladstone, and his one-nation conservatism or "Tory democracy".  He made the Conservatives the party most identified with the glory and power of the British Empire.  He is the only UK Prime Minister to have been of Jewish birth.

Conservative Party (UK): The Conservative Party, officially the Conservative and Unionist Party, is a centre-right political party in the United Kingdom.  It is currently the governing party, having been so since the 2010 general election, where a coalition government with the Liberal Democrats was formed.  In 2015, the Conservatives led by David Cameron won a surprise majority and formed the first Conservative majority government since 1992.  However, the 2017 snap election on Thursday 8 June resulted in a hung parliament, and the Conservatives lost their parliamentary majority.  They are reliant on the support of a Northern Irish political party, the Democratic Unionist Party (DUP), in order to command a majority in the House of Commons through a confidence-and-supply deal.  The party leader, Theresa May, has served as both Leader of the Conservative Party and Prime Minister since 13 July 2016.  It is the largest party in local government with 9,237 councillors.  The Conservative Party is one of the two major contemporary political parties in the United Kingdom, the other being its modern rival, the Labour Party.  The Conservative Party's platform involves support for free market capitalism, free enterprise, fiscal conservatism, a strong national defence, deregulation, and restrictions on trade unions.

Baron de Ramsey: Baron de Ramsey, of Ramsey Abbey in the County of Huntingdon, is a title in the Peerage of the United Kingdom.  It was created in 1887 for Edward Fellowes, who had previously represented Huntingdonshire in the House of Commons as a Conservative for 43 years.  His eldest son, the second Baron, sat as Member of Parliament for Huntingdonshire and Ramsey and later served as a Lord-in-Waiting (government whip in the House of Lords) from 1890 to 1892 in the Conservative administration of Lord Salisbury.  His grandson, the third Baron, was Lord Lieutenant of Huntingdonshire from 1947 to 1965 and of Huntingdon and Peterborough between 1965 and 1968.  s of 2017 the title is held by the latter's son, the fourth Baron, who succeeded in 1993.

Supporting paragraphs: Baron Derwent Alec Douglas-Home
Answer: Sir Alec Douglas-Home