Question: John Taylor served as a junior minister under a British politician who led the conservative party between which years ?

Context articles: Mark Clarke (politician)
Eric Forth
Anthony Kershaw
Mark Harper
John Taylor (Solihull MP)
Conservative Party (UK)
Stephen Crabb
John Major
Reg Freeson
Peter Smithers

Mark Clarke, born in June 1977, is a former UK Conservative Party parliamentary candidate that has been referred to as the "Tatler Tory", who is also former Director of the Young Britons' Foundation, former Chairman of Conservative Future, and ex-Director of the since-disbanded "Road Trip" electioneering organisation that bussed Conservative Party activists to marginal seats during the 2015 general election.
 Clarke was suspended from the Party on 24 September 2015, following the suicide of Conservative activist Elliott Alston Raymond Johnson who had named Clarke as having bullied him.
 A series of serious accusations subsequently appeared in several national newspapers about Clarke’s alleged misconduct and in November 2015 he was finally expelled and banned for life from representing or joining the Conservative Party again.
 His alleged misconduct within the Conservative Party led to national newspaper coverage about the extent to which senior figures in the Party knew about complaints regarding his actions, coverage that subsequently led to the resignation of Grant Shapps, a government minister.
Eric Forth (9 September 1944 – 17 May 2006) was a British politician.
 He was the Conservative Member of the European Parliament (MEP) for Birmingham North, then Member of Parliament (MP) for Mid Worcestershire and finally Bromley and Chislehurst at his death.
 He served as a junior minister in the governments of Margaret Thatcher and John Major between 1988 and 1997.
 In his obituaries, he was described as "colourful", "flamboyant", "provocative" and a "right-wing libertarian".
 He was noted for his colourful ties and waistcoats, sideburns, and jewellery.
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Sir John Anthony Kershaw MC, DL (14 December 1915 – 29 April 2008) was a British Conservative Party Member of Parliament for 32 years, from 1955 to 1987.
 He served as a junior minister in the 1970s.
 He was also a barrister, World War II cavalry officer, amateur rugby player and company director.
Mark James Harper (born 26 February 1970) is a British Conservative Party politician.
 Harper was born in Swindon and studied Philosophy, Politics and Economics at Brasenose College, Oxford.
 He was a chartered accountant before becoming the Member of Parliament for the Forest of Dean constituency in 2005.
 Harper has previously served as a junior minister in the Cabinet Office, Immigration Minister and Minister for Disabled People.
 He was the Government Chief Whip in the House of Commons from May 2015 to July 2016.
John Mark Taylor (19 August 1941 – 30 May 2017) was a solicitor and British politician.
 He was the Conservative Party Member of Parliament (MP) for Solihull from 1983 to 2005, before losing his seat to Lorely Burt of the Liberal Democrats by a margin of 279 votes in the 2005 general election.
 He had previously been a Member of the European Parliament and leader of West Midlands County Council.
 He was first elected to the House of Commons in 1983, and served as a junior minister under John Major.
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.
Stephen Crabb{'1': ", '2': ", '3': ", '4': "} (born 20 January 1973) is a British Conservative Party politician.
 He has been the Member of Parliament for Preseli Pembrokeshire since the 2005 general election and was Secretary of State for Work and Pensions from March 2016 until July 2016, when Prime Minister David Cameron resigned and Theresa May took over as Prime Minister and Leader of the Conservative Party.
 He has previously been a government whip, a junior minister for Wales and the Secretary of State for Wales.
Sir John Major, {'1': ", '2': ", '3': ", '4': "} (born 29 March 1943) is a British politician who was Prime Minister of the United Kingdom and Leader of the Conservative Party from 1990 to 1997.
 He served as Foreign Secretary and then Chancellor of the Exchequer in the Thatcher Government from 1989 to 1990, and was the Member of Parliament (MP) for Huntingdon from 1979 until he retired in 2001.
 Since Margaret Thatcher's death in 2013, he is the oldest living former Prime Minister.
Reginald Yarnitz Freeson (24 February 1926 – 9 October 2006) was a British politician.
 He was a Labour Member of Parliament for 23 years, from 1964 to 1987, with 14 years on the front bench.
 He became a junior minister in the Ministry of Power in 1967, and then led his party on housing policy for 10 years, from 1969 to 1979, serving as Minister of State for Housing from 1969 to 1970 and then again from 1974 to 1979, and being his party's housing spokesman in the intervening period.
 He continued as health and social security spokesman until 1981.
 His soft-left opinions made him vulnerable to the hard left in the early 1980s, and he was deselected in 1985, leaving Parliament at the 1987 general election.
Sir Peter Henry Berry Otway Smithers (9 December 1913 in Yorkshire, England – 8 June 2006 in Vico Morcote, Switzerland) was a United Kingdom Conservative Party politician.
 He was a Member of Parliament for Winchester for 14 years, and a junior Minister in the early 1960s.
 He also served as Secretary General of the Council of Europe from 1964 to 1969.