Question: Who directed the film in which Matthew Marsh played Alexander Haig?

Context paragraphs:
Tom Marsh: Thomas Owen Marsh (born December 27, 1965) is an American former Major League Baseball player.  Marsh played high school ball at Woodward High School in Toledo.  He played college baseball at the University of Toledo from 1985–1988.  He was drafted by Philadelphia in the 16th round of the 1988 MLB draft and made his Major League Baseball debut in 1992 for the Philadelphia Phillies.  Marsh only played for parts of three seasons in MLB baseball — all with the Phillies — in 1992, 1994, and 1995.  He was involved in a serious on-field injury during a game in 1995.  Due to the seriousness of the matter, ESPNs "Baseball Tonight" devoted much of its program that evening to Marsh's injury.

The Iron Lady (film): The Iron Lady is a 2011 British-French biographical drama film based on the life and career of Margaret Thatcher (1925–2013), a British stateswoman and politician who was the longest-serving Prime Minister of the United Kingdom of the 20th century.  The film was directed by Phyllida Lloyd.  Thatcher is portrayed primarily by Meryl Streep, and, in her formative and early political years, by Alexandra Roach.  Thatcher's husband, Denis Thatcher, is portrayed by Jim Broadbent, and by Harry Lloyd as the younger Denis.  Thatcher's longest-serving cabinet member and eventual deputy, Geoffrey Howe, is portrayed by Anthony Head.

Brad Marsh: Charles Bradley "Brad" Marsh (born March 31, 1958) is a retired Canadian professional ice hockey player who played as a defenceman in the National Hockey League (NHL).  Marsh played for the Atlanta Flames, Calgary Flames, Philadelphia Flyers, Toronto Maple Leafs, Detroit Red Wings and Ottawa Senators over a 15-year NHL career.  He played for the Prince of Wales Conference in the 1993 NHL All-Star Game, scoring one goal.

Curt Marsh: Curt Marsh (born August 25, 1959) is a former American football offensive tackle.  He was selected in the first round by the Oakland Raiders out of the University of Washington in the 1981 NFL Draft.  Marsh was a High School All-American at Snohomish High School in Snohomish, Washington.  Marsh played for the Raiders through 1987.  He underwent more than 20 surgeries for football-related injuries, including a foot amputation, which he attributes to inadequate medical care.

The Day Reagan Was Shot: The Day Reagan Was Shot is a 2001 made-for-television film directed by Cyrus Nowrasteh and co-produced by Oliver Stone.  The film stars Richard Dreyfuss as Alexander Haig and Richard Crenna as Ronald Reagan, and co-stars Michael Murphy, Holland Taylor, Kenneth Welsh and Colm Feore in leading supporting-turns.  The film is loosely-based on events surrounding the Reagan assassination attempt on March 30, 1981 by John Hinckley, Jr., and depicts a crazed media frenzy, a divided White House cabinet and staff with little control, and a fictional threat of international crisis.

Matthew Marsh (actor): Matthew Marsh (born 8 July 1954) is an English actor.  He is the older brother of Jon Marsh of English dance band the Beloved.  He has appeared in the films "The Fourth Protocol" (1987), "Diamond Skulls" (1989), "Mountains of the Moon" (1990), "Alambrado" (1991), "Dirty Weekend" (1993), "Spy Game" (2001), "Miranda" (2002), "Bad Company" (2002), "Quicksand" (2003) and "An American Haunting" (2005).  In 2011 Marsh starred in the controversial film "The Iron Lady" as the United States Secretary of State Alexander Haig.

Dark Side of the Moon (film): Dark Side of the Moon is a French mockumentary by director William Karel which originally aired on Arte in 2002 with the title Opération Lune.  The basic premise for the film is the theory that the television footage from the Apollo 11 Moon landing was faked and recorded in a studio by the CIA with help from director Stanley Kubrick.  It features some surprising guest appearances, most notably by Donald Rumsfeld, Dr. Henry Kissinger, Alexander Haig, Vernon Walters, Buzz Aldrin and Stanley Kubrick's widow, Christiane Kubrick.

Sigrid Sternebeck: Sigrid Sternebeck (born 19 June 1949) is a German convicted murderer.  She was a member of the Red Army Faction (RAF) terrorist organisation, and participated in the kidnapping and murder of Hanns-Martin Schleyer, including the murder of his driver and three policemen, and in the murder attempt on Alexander Haig.  In 1980 she fled to East Germany with the help of the Stasi, which provided her with a false identity.  After the fall of communism and German reunification she was arrested and charged with murder in relation to the kidnapping and murder of Hanns-Martin Schleyer and his driver and police escort, and of murder attempt on Haig; she was found guilty on 22 June 1992 and sentenced to eight and a half years imprisonment.  During her trial she cooperated with the police and prosecution and therefore received a reduced sentence.  Following her release from prison on probation in 1997, she has worked as a photographer.  She currently lives under another name in Northern Germany.

George Marsh (musician): George Marsh (c. 1900 –1962) was an American jazz drummer.  In the 1920s, he played with one of Paul Whiteman's bands, as well as recording with musicians including Frankie Trumbauer and Eddie Lang.  From 1932 to 1934, Marsh played in an orchestra led by Ferde Grofé.  He later moved to California, where he worked in film music.  He died in Los Angeles in April 1962.

Light Thickens: Light Thickens is a detective novel by Ngaio Marsh; it is the thirty-second, and final, novel to feature Roderick Alleyn, and was first published in 1982.  The plot concerns the murder of the lead actor in a production of "Macbeth" in London, and the novel takes its title from a line in the play.  A number of characters in the book appeared previously in Marsh's novel "Death at the Dolphin".  The novel is dedicated to the actors James Laurenson and Helen Thomas who had played Macbeth and Lady Macbeth respectively in the author's 1962 production of the play, which she had previously directed, also for The Canterbury University Players, in 1946.

Supporting paragraphs: Matthew Marsh (actor) The Iron Lady (film)
Answer: Phyllida Lloyd