Question: Which 1961 British comedy film directed by Edward Buzzell takes its title from an English language nursery rhyme of nineteenth-century American origin?

full_context: Document 1: Mary, Mary, Quite Contrary: "Mary, Mary, Quite Contrary" is a popular English nursery rhyme. The rhyme has been seen as having religious and historical significance, but its origins and meaning are disputed. It has a Roud Folk Song Index number of 19626.
Document 2: Babes in Toyland (1961 film): Babes in Toyland is a 1961 American Technicolor Christmas musical film directed by Jack Donohue and distributed to theatres by Buena Vista Distribution. It stars Ray Bolger as Barnaby, Annette Funicello as Mary Contrary, Tommy Sands as Tom Piper, and Ed Wynn as the Toymaker.
Document 3: Diddle, Diddle, Dumpling, My Son John: "Diddle, Diddle, Dumpling, My Son John" is an English language nursery rhyme. It has a Roud Folk Song Index number of 19709.
Document 4: Hey Diddle Diddle: "Hey Diddle Diddle" (also "Hi Diddle Diddle", "The Cat and the Fiddle", or "The Pig Jumped Over the Moon") is an English nursery rhyme. It has a Roud Folk Song Index number of 19478.
Document 5: Three Little Kittens: "Three Little Kittens" is an English language nursery rhyme, probably with roots in the British folk tradition. The rhyme as published today however is a sophisticated piece usually attributed to American poet Eliza Lee Cabot Follen (1787–1860). With the passage of time, the poem has been absorbed into the "Mother Goose" collection. The rhyme tells of three kittens who first lose, then find and soil, their mittens. When all is finally set to rights, the kittens receive their mother's approval and some pie. It has a Roud Folk Song Index number of 16150.
Document 6: Mary Had a Little...: Mary Had a Little… is a 1961 British comedy film directed by Edward Buzzell and starring Agnès Laurent, Hazel Court and Jack Watling. It takes its title from the nursery rhyme "Mary Had a Little Lamb" and is about a slick impresario who tries unsuccessfully to win a bet with a psychiatrist over the production of a perfect baby via hypnotism.
Document 7: Mary Hayley Bell: Mary Hayley Bell, Lady Mills (22 January 1911 – 1 December 2005) was an English actress and writer, married for 64 years to actor Sir John Mills. Her novel "Whistle Down the Wind" was adapted as a film, starring her teenaged daughter, actress Hayley Mills.
Document 8: One, Two, Buckle My Shoe: "One, Two, Buckle My Shoe" is a popular English language nursery rhyme and counting-out rhyme. It has a Roud Folk Song Index number of 11284.
Document 9: Miss Lucy had a baby: "Miss Lucy had a baby...", also known by various other names, is an American schoolyard rhyme. Originally used as a jump-rope chant, it is now more often sung alone or as part of a clapping game. It has many variations, possibly originating from it, or from its predecessors.
Document 10: There was an Old Woman Who Lived in a Shoe: "There was an Old Woman Who Lived in a Shoe" is a popular English language nursery rhyme, with a Roud Folk Song Index number of 19132. Debates over its meaning and origin have largely centered on attempts to match the old woman with historical female figures who have had large families, although King George II (1683–1760) has also been proposed as the rhyme's subject.
Document 11: Jack and Jill (nursery rhyme): "Jack and Jill" (sometimes "Jack and Gill", particularly in earlier versions) is a traditional English nursery rhyme. The Roud Folk Song Index classifies this tune and its variations as number 10266. The rhyme dates back at least to the 18th century and exists with different numbers of verses each with a number of variations. Several theories have been advanced to explain its origins and to suggest meanings for the lyrics.
Document 12: Mary Had a Little Lamb: "Mary Had a Little Lamb" is an English language nursery rhyme of nineteenth-century American origin. It has a Roud Folk Song Index number of 7622.
Document 13: Hi Diddle Diddle: Hi Diddle Diddle is a 1943 American comedy film made in directed by Andrew L. Stone and starring Adolphe Menjou, Martha Scott, Dennis O'Keefe, June Havoc, Billie Burke, and Pola Negri. The title is a play on the nursery rhyme "Hey Diddle Diddle" and the use of diddle as a word for confidence trick. The film features animated portions from Leon Schlesinger's studio with the fast moving screenplay frequently breaking the fourth wall.
Document 14: Melody (1971 film): Melody is a 1971 British film directed by Waris Hussein about puppy love. It was released as S.W.A.L.K. in the United Kingdom (S.W.A.L.K. is a message traditionally written on the envelopes of love letters by British schoolchildren, standing for "sealed with a loving kiss"). The film starred Jack Wild, Mark Lester and Tracy Hyde. Although the film was a box office disappointment in both the United States and Britain, it turned out to be an enormous hit in Japan as well as in some Latin American countries such as Argentina and Chile, and a modest hit in South Africa.
Document 15: A Taste of Honey (film): A Taste of Honey is a 1961 British film adaptation of the play of the same name by Shelagh Delaney. Delaney wrote the screenplay herself, aided by director Tony Richardson, who had previously directed the play on the stage. It is an exemplar of a gritty genre of British film that has come to be called kitchen sink realism and was the inspiration behind the song "Your Mother Should Know", which is on the 1967 album "Magical Mystery Tour" by The Beatles.
ground_truth: Mary Had a Little…