Question: Who has written more songs, Gene Wilder or Ken Annakin?

Context paragraphs:
Landfall (film): Landfall is a 1949 British war film directed by Ken Annakin and starring Michael Denison, Patricia Plunkett and Kathleen Harrison.  It is based on the 1940 novel, "", written by author Nevil Shute.

Stir Crazy (film): Stir Crazy is a 1980 American comedy film directed by Sidney Poitier, produced by Hannah Weinstein and written by Bruce Jay Friedman.  The film stars Gene Wilder and Richard Pryor as down-on-their-luck friends who are given 125-year prison sentences after being framed for a bank robbery.  While in prison they befriend other prison inmates.  The film reunited Wilder and Pryor who had appeared previously in the 1976 comedy thriller film "Silver Streak".  The film was released in the United States on December 12, 1980.

Gene Wilder: Jerome Silberman (June 11, 1933 – August 29, 2016), known professionally as Gene Wilder, was an American actor, screenwriter, director, producer, singer-songwriter and author.

The Story of Robin Hood and His Merrie Men: The Story of Robin Hood and His Merrie Men is a 1952 live action Disney version of the Robin Hood legend made in Technicolor and filmed in Buckinghamshire, England.  It was written by Lawrence Edward Watkin and directed by Ken Annakin.  This is the second of Disney's complete live-action films, after "Treasure Island" (1950), and the first of four films Annakin directed for Disney.

Young Frankenstein: Young Frankenstein is a 1974 American comedy horror film directed by Mel Brooks and starring Gene Wilder as the title character, a descendant of the infamous Dr. Victor Frankenstein.  The supporting cast includes Teri Garr, Cloris Leachman, Marty Feldman, Peter Boyle, Madeline Kahn, Kenneth Mars, Richard Haydn and Gene Hackman.  The screenplay was written by Wilder and Brooks.

Sunday Lovers: Sunday Lovers is a 1980 internationally co-produced romantic comedy film directed by Bryan Forbes, Gene Wilder, Dino Risi and Edouard Molinaro.  It starred Roger Moore, Gene Wilder, Priscilla Barnes, Lynn Redgrave, Denholm Elliott and Kathleen Quinlan.  It is split into four segments, each from a different country (England, France, USA and Italy).

Ken Annakin: Kenneth Cooper "Ken" Annakin, OBE (10 August 1914 – 22 April 2009) was a prolific English film director.

Miranda (1948 film): Miranda is a 1948 British comedy film, directed by Ken Annakin and written by Peter Blackmore, who also wrote the play of the same name from which the film was adapted.  Denis Waldock provided additional dialogue.  A light comedy, the film is about a beautiful and playful mermaid played by Glynis Johns and her effect on Griffith Jones' character.  Googie Withers and Margaret Rutherford are also featured in the film.  Glynis Johns and Margaret Rutherford reprised their roles in the 1954 sequel, "Mad About Men".

Double Confession: Double Confession is a 1950 British crime film directed by Ken Annakin and starring Derek Farr, Joan Hopkins, William Hartnell and Peter Lorre.  The screenplay, written by William Templeton, is based on the book "All On A Summer's Day" by HLV Fletcher, written under the pen name "John Garden".

The Pirate (1978 film): The Pirate is a 1978 American two-part, four-hour television miniseries directed by Ken Annakin.  It is based on the novel with the same title written by Harold Robbins.  It was broadcast in two parts by CBS on November 21–22, 1978.

Supporting paragraphs: Gene Wilder Ken Annakin
Answer: Gene Wilder