Question: Were both Gene Nelson and James Cagney directors?

Context paragraphs:
Captains of the Clouds: Captains of the Clouds (a.k.a. Shadows of Their Wings) is a 1942 Warner Bros. war film in Technicolor, directed by Michael Curtiz and starring James Cagney.  It was produced by William Cagney (James Cagney's brother), with Hal B. Wallis as executive producer.  The screenplay was written by Arthur T. Horman, Richard Macaulay, and Norman Reilly Raine, based on a story by Horman and Roland Gillett.  The cinematography was by Wilfred M. Cline, Sol Polito, and Winton C. Hoch and was notable in that it was the first feature length Hollywood production filmed entirely in Canada.

Each Dawn I Die: Each Dawn I Die is a 1939 gangster film featuring James Cagney and George Raft in their only movie together as leads, although Raft had made an unbilled appearance in a 1932 Cagney vehicle called "Taxi! " in which he won a dance contest against Cagney, after which he and Cagney brawl.  Raft also very briefly "appeared" in Cagney's boxing drama "Winner Take All" (1932), in a flashback sequence culled from Raft's 1929 film debut "Queen of the Night Clubs" starring Texas Guinan.

James Cagney: James Francis "Jimmy" Cagney Jr. (July 17, 1899March 30, 1986) was an American actor and dancer, both on stage and in film, though he had his greatest impact in film.  Known for his consistently energetic performances, distinctive vocal style, and deadpan comic timing, he won acclaim and major awards for a wide variety of performances.  He is best remembered for playing multifaceted tough guys in movies such as "The Public Enemy" (1931), "Taxi! " (1932), "Angels with Dirty Faces" (1938), and "White Heat" (1949), and was typecast or limited by this view earlier in his career.  In 1999, the American Film Institute ranked him eighth among its list of greatest male stars of Classic Hollywood Cinema.  Orson Welles said of Cagney, "[he was] maybe the greatest actor who ever appeared in front of a camera", and Stanley Kubrick considered him to be one of the best actors of all time.

The Mayor of Hell: The Mayor of Hell is a 1933 American pre-Code Warner Brothers film starring James Cagney.  The film was remade in 1938 as "Crime School" with Humphrey Bogart taking over James Cagney's role and "Hell's Kitchen" with Ronald Reagan in 1939.

Gene Nelson (baseball): Wayland Eugene Nelson II (born December 3, 1960), is a former professional baseball player who pitched in the Major Leagues from 1981 to 1993.  After beginning his career as a starting pitcher with the New York Yankees and Seattle Mariners, Nelson gradually converted to a relief role starting in 1983.  He was a key member of the ace relief staff that helped propel the Oakland Athletics to three pennant-winning seasons from 1988 to 1990, frequently setting up Dennis Eckersley for his saves.  Nelson posted a 1.57 ERA in 1990 and earned a 9-6 record in 1988.  After seeing his performance slip in 1991 and 1992, he closed out his career in 1993 with a 3.12 ERA while pitching for the California Angels and Texas Rangers.  Gene Nelson Boulevard, which leads to the Little League fields at John S. Burks Memorial Park in Dade City, FL, is named after Nelson, who grew up there.  Gene Nelson is married.

Smart Money (1931 film): Smart Money is a 1931 American Pre-Code drama film produced and distributed by Warner Bros., directed by Alfred E. Green, and starring Edward G. Robinson and James Cagney, the only time Robinson and Cagney made a movie together despite being the two leading gangster actors at Warner Bros. studios throughout the 1930s.  "Smart Money" was shot after Robinson's signature film "Little Caesar" had been released, and during the filming of Cagney's breakthrough masterpiece "The Public Enemy", which is how Cagney came to play, just this once, the kind of supporting role usually portrayed by Humphrey Bogart later in the 1930s.

Gene Nelson: Gene Nelson (March 24, 1920 – September 16, 1996) was an American dancer, actor, screenwriter, and director.

Devil Dogs of the Air: Devil Dogs of the Air (a.k.a. "Flying Marines") is a 1935 Warner Bros. film, directed by Lloyd Bacon and starring James Cagney and Pat O'Brien, reprising their earlier roles as buddies after making their debut as a "buddy team" in "Here Comes the Navy".  "Devil Dogs of the Air" was the second of nine features that Pat O'Brien and James Cagney made together.  The film's storyline was adapted from a novel by John Monk Saunders.

The Time of Your Life (film): The Time of Your Life is a 1948 comedy drama film starring James Cagney adapted from the 1939 William Saroyan play of the same title.  A Cagney Production, "The Time of Your Life" was produced by Cagney's brother William, adapted by Nathaniel Curtis, and directed by H. C. Potter.  Cinematography was by James Wong Howe.  The supporting cast features William Bendix, Jeanne Cagney, Wayne Morris, Broderick Crawford and Ward Bond.

Something to Sing About (1937 film): Something to Sing About, (1937), re-released in 1947 as Battling Hoofer, is the second and final film James Cagney made for Grand National Pictures – the first being "Great Guy" – before mending relations with and returning to Warner Bros. It is one of the few films besides "Footlight Parade" and "Yankee Doodle Dandy" to showcase Cagney's singing and dancing talents.  It was directed by Victor Schertzinger, who also wrote the music and lyrics of the original songs, as well as the story that Austin Parker's screenplay is based on.  Cagney's co-stars are Evelyn Daw and William Frawley, and the film features performances by Gene Lockhart and Mona Barrie.

Supporting paragraphs: Gene Nelson James Cagney
Answer: no