Question: Are Beryl Bainbridge and T. S. Eliot both playwrights?

Context articles: Laetitia Matilda Hawkins
The Bottle Factory Outing
An Awfully Big Adventure (novel)
Coasting (book)
Harriet Said...
T. S. Eliot
Beryl Bainbridge
Sweet William (novel)
The Dressmaker (1988 film)
The Dressmaker (Bainbridge novel)

Laetitia Matilda Hawkins (baptized 8 August 1759 – 22 November 1835) was an English novelist, associated with Twickenham.
 She is a character in Beryl Bainbridge's novel "According to Queeney".
The Bottle Factory Outing is a 1974 novel by English writer Beryl Bainbridge.
 It was shortlisted for the Booker Prize that year, won the Guardian Fiction Prize and is regarded as one of her best.
 It is also listed as one of the 100 greatest novels of all time by Robert McCrum of "The Observer".
 The book was inspired by Beryl Bainbridge's own experiences working as a cellar girl in a bottling factory after her divorce in 1959.
An Awfully Big Adventure is a novel written by Beryl Bainbridge.
 It was short listed for the Booker Prize in 1990 and adapted as a movie in 1995.
 The story was inspired by Bainbridge's own experiences working at the Liverpool Playhouse in her youth.
Coasting is a travel book by Jonathan Raban.
 It has received a positive review by Beryl Bainbridge.
Harriet Said... was the first novel written by Beryl Bainbridge, based on newspaper reports the Parker–Hulme murder case in New Zealand which involved two young girls.
Thomas Stearns Eliot, {'1': ", '2': ", '3': ", '4': "} (26 September 1888 – 4 January 1965) was a British essayist, publisher, playwright, literary and social critic, and "one of the twentieth century's major poets".
 He moved from his native United States to England in 1914 at the age of 25, settling, working, and marrying there.
 He eventually became a British subject in 1927 at the age of 39, renouncing his American citizenship.
Dame Beryl Margaret Bainbridge DBE (21 November 1932 – 2 July 2010) was an English writer from Liverpool.
 She was primarily known for her works of psychological fiction, often macabre tales set among the English working class.
 Bainbridge won the Whitbread Awards prize for best novel in 1977 and 1996; she was nominated five times for the Booker Prize.
 She was described in 2007 as "a national treasure".
 In 2008, "The Times" named Bainbridge on their list of "The 50 greatest British writers since 1945".
Sweet William is a 1975 novel written by Beryl Bainbridge, it was made into a 1980 film of the same name (starring Jenny Agutter and Sam Waterston) for which Bainbridge wrote the screenplay.
The Dressmaker is a 1988 British drama film directed by Jim O'Brien and starring Joan Plowright, Billie Whitelaw and Pete Postlethwaite.
 Set during the Second World War in England, the story concerns a claustrophobic relationship between two middle-aged sisters and their fragile 17-year-old niece.
 It is an adaptation of the novel "The Dressmaker" by Beryl Bainbridge.
The Dressmaker (US title The Secret Glass) is a gothic psychological novel written by Beryl Bainbridge.
 In 1973, it was shortlisted for the Booker Prize.
 Like many of Bainbridge's earlier works, the novel is semi-autobiographical.
 In particular, the story was inspired by a relationship that she had with a soldier as a teenager.
 The characters of Nellie and Margo were based upon two of her paternal aunts.