Question: Was Mack Sennett and Alain Corneau both directors?

Context articles: Mabel's Awful Mistakes
Girl Crazy (1929 film)
Mack Sennett
Blue of the Night
Mack and Mabel
Alain Corneau
Mack at It Again
I Surrender Dear (1931 film)
At Coney Island
Sing, Bing, Sing

Mabel's Awful Mistakes is a 1913 film starring Mabel Normand and directed by Mack Sennett.
 The film also features Mack Sennett, Ford Sterling and Edgar Kennedy.
Girl Crazy was a 1929 comedy film directed by Mack Sennett and starring Andy Clyde as "a girl-crazy sexagenarian".
 The film's story is credited to Hampton Del Ruth, Alfred J. Goulding, Harry McCoy, Earle Rodney, and Mack Sennett.
Mack Sennett (born Michael Sinnott; January 17, 1880 – November 5, 1960) was a Canadian-born American director and actor and was known as an innovator of slapstick comedy in film.
 During his lifetime he was known at times as the "King of Comedy".
 His short "Wrestling Swordfish" was awarded the Academy Award for Best Live Action Short Film in 1932 and he earned an Academy Honorary Award in 1937.
Blue of the Night is a 1932 Mack Sennett Star Comedy (No.
 S3628) starring Bing Crosby and directed by Leslie Pearce.
 This was the last of the six short films Crosby made for Mack Sennett and which helped launch his career as a solo performer.
Mack and Mabel is a musical with a book by Michael Stewart and music and lyrics by Jerry Herman.
 The plot involves the tumultuous romantic relationship between Hollywood director Mack Sennett and Mabel Normand (transformed from an artist's model to a waitress from Flatbush, Brooklyn for the musical), who became one of his biggest stars.
 In a series of flashbacks, Sennett relates the glory days of Keystone Studios from 1911, when he discovered Normand and cast her in dozens of his early "two-reelers", through his creation of Sennett's Bathing Beauties and the Keystone Cops to Mabel's death from tuberculosis in 1930.
Alain Corneau (7 August 1943 – 30 August 2010) was a French film director and writer.
Mack at It Again is a 1914 short comedy film starring Mabel Normand and Mack Sennett.
 Mack Sennett also directed the film.
 The picture was produced by Sennett's Keystone Film Company and distributed by Mutual Film.
I Surrender Dear is a 1931 Educational-Mack Sennett Featurette (No.
 S2094) starring Bing Crosby and directed by Mack Sennett.
 This was the first of the six short films Crosby made for Sennett and which helped launch his career as a solo performer.
At Coney Island, also known as Cohen at Coney Island, is a 1912 American short silent comedy starring Mack Sennett, Mabel Normand, and Ford Sterling.
 Sennett also directed and produced the film.
 According to the book "Mack Sennett's Fun Factory: A History and Filmography of His Studio and His Keystone and Mack Sennett Comedies, with Biographies of Players and Personnel", Sennett claimed this was the first Keystone Studios production, shot on location at Coney Island on July 4, 1912.
 It was the eleventh Keystone film released, on a split-reel with "A Grocery Clerk's Romance".
Sing, Bing, Sing is a 1932 Mack Sennett Star Comedy (No.
 S3627) starring Bing Crosby and directed by Babe Stafford.
 This was the fifth of the six short films Crosby made for Mack Sennett and which helped launch his career as a solo performer.