A second pregnancy led to the birth of a son, Kim, "who came rollicking and laughing into the world in October 1956, a trifle before his allotted time", according to Le Mesurier. In June 1956 Jacques appeared in an episode of "The Tony Hancock Show" on ITV; this led to the role of Hancock's secretary, Griselda Pugh, in the BBC radio series "Hancock's Half Hour". She appeared in 16 episodes from November 1956 to February 1957, alongside Hancock and regulars Sidney James, Bill Kerr and Kenneth Williams. Jacques's arrival on "Hancock" "provided an additional boost to the series", according to television historian Richard Webber. She appeared again in five further episodes of "Hancock's Half Hour" between April and June 1957, and again for a further 20 episodes between January and June 1958, before a special edition on Christmas Day 1958. She spent much of 1958 at the London Palladium, undertaking 380 performances of the revue "Large as Life", alongside Terry-Thomas, Eric Sykes and Harry Secombe. She appeared in the sketches "Concerto for Three Buffoons" with Secombe and Sykes, "The Good Old Days", and the two full company numbers that closed each of the two halves of the show.