John Mills was "Tunes of Glory" (1960), a military drama directed by Ronald Neame co-starring Alec Guinness. Mills' performance earned him a Best Actor Award at the Venice Film Festival. Walt Disney saw "Tiger Bay" and offered Hayley Mills the lead role in "Pollyanna" (1960). Disney also offered John Mills the lead in the adventure film "Swiss Family Robinson" (1960), which was a huge hit. He did "Ross" (1960–61) on stage. The Rank Organisation insisted Mills play the role of the priest in "The Singer Not the Song" (1961) opposite Dirk Bogarde. Mills and Baker reteamed on an interracial drama "Flame in
Hayley Mills popular success and Mills would be voted the fifth biggest star in the country for the next two years. In 1963 Disney announced plans to film "I Capture the Castle", from the novel by Dodie Smith, with Hayley Mills in the role of Cassandra. However, Disney never produced the film. Her fourth movie for Disney did less well though was still successful, "Summer Magic" (1963), a musical adaptation of the novel "Mother Carey's Chickens". Ross Hunter hired her for a British-American production, "The Chalk Garden" (1964), playing a girl who torments governess Deborah Kerr. Back at Disney she was in