Question: Who directed the film, based on the 1915 adventure novel by John Buchan, in which the British actess Peggy Simpson appeared?

Context paragraphs:
The Thirty-Nine Steps: The Thirty-Nine Steps is an adventure novel by the Scottish author John Buchan.  It first appeared as a serial in "Blackwood's Magazine" in August and September 1915 before being published in book form in October that year by William Blackwood and Sons, Edinburgh.  It is the first of five novels featuring Richard Hannay, an all-action hero with a stiff upper lip and a miraculous knack for getting himself out of sticky situations.

Prester John (novel): Prester John is a 1910 adventure novel by John Buchan.  It tells the story of a young Scotsman named David Crawfurd and his adventures in South Africa, where a Zulu uprising is tied to the medieval legend of Prester John.  Crawfurd is similar in many ways to Buchan's later character, Richard Hannay.

The Thirty Nine Steps (1978 film): The Thirty Nine Steps is a British 1978 thriller film directed by Don Sharp, with screenplay by British playwright Michael Robson, based on the novel "The Thirty-Nine Steps" by John Buchan.  It was the third film version of the 1915 novel.

The 39 Steps (1935 film): The 39 Steps is a 1935 British thriller film directed by Alfred Hitchcock, starring Robert Donat and Madeleine Carroll.  Very loosely based on the 1915 adventure novel "The Thirty-Nine Steps" by John Buchan, the film is about an everyman civilian in London, Richard Hannay, who becomes caught up in preventing an organization of spies called the 39 Steps from stealing British military secrets.  After being mistakenly accused of the murder of a counter-espionage agent, Hannay goes on the run to Scotland with an attractive woman in the hopes of stopping the spy ring and clearing his name.

Darby and Joan (1937 film): Darby and Joan is a 1937 British drama film directed by Syd Courtenay and starring Peggy Simpson, Ian Fleming, Tod Slaughter and Mickey Brantford.  The film is a quota quickie, made at Elstree Studios for release by MGM.

The Courts of the Morning: The Courts of the Morning is a 1929 adventure novel by John Buchan, featuring his character Sandy Arbuthnot.  The prologue is narrated by Richard Hannay, so the novel is sometimes included in Buchan's Hannay series.  The action is set in Olifa, a fictional country on the west coast of South America.

The 39 Steps (2008 film): The 39 Steps is a 2008 British television adventure thriller feature-length adaptation of the John Buchan novel "The Thirty-Nine Steps" produced by the BBC.  It was written by Lizzie Mickery, directed by James Hawes, and filmed on location in Scotland, starring Rupert Penry-Jones, Lydia Leonard, David Haig, Eddie Marsan, and Patrick Malahide.  Following three screen versions of the novel and the 1952 and 1977 television adaptations of "The Three Hostages", Penry-Jones became the sixth actor to portray Hannay on screen.  This adaptation is set on the eve of the First World War and sees mining engineer Richard Hannay caught up in an espionage conspiracy following the death of a British spy in his flat.

Peggy Simpson: Peggy Simpson (4 July 1913 in Leeds, West Riding of Yorkshire – January 1994 in London) was a British actress.  She appeared twice for director Alfred Hitchcock in "The 39 Steps" (1935) and "Young and Innocent" (1937).

Huntingtower (film): Huntingtower is a 1927 British silent adventure film directed by George Pearson and starring Harry Lauder, Vera Voronina and Patrick Aherne.  It was based on the 1922 novel "Huntingtower" by John Buchan and made at Cricklewood Studios.  The art direction was by Walter Murton.  The film was fairly successful on its release.

Richard Hannay: Major-General Sir Richard Hannay, KCB, OBE, DSO, Legion of Honour, is a fictional character created by Scottish novelist John Buchan and further made popular by the 1935 Alfred Hitchcock film "The 39 Steps" (and other later film adaptations), very loosely based on Buchan's 1915 novel of the same name.  In his autobiography, "Memory Hold-the-Door", Buchan suggests that the character is based, in part, on Edmund Ironside, from Edinburgh, a spy during the Second Boer War.

Supporting paragraphs: Peggy Simpson The 39 Steps (1935 film)
Answer: Alfred Hitchcock