One of her early TV appearances was in an episode of the "Danger Man" series called "The Gallows Tree" (1961) with Patrick McGoohan. In the 1960s Craig appeared in British films such as "The Servant" (1963) and "The Nanny" (1965) with Bette Davis, but it was her appearances in British sitcoms of the late 1960s/1970s which led to her becoming a household name, usually playing a scatty middle class housewife. She went from the BBC's "Not in Front of the Children" (1967–1970) to ITV's "...And Mother Makes Three" (1971–1973), in which she played a single parent, which evolved into its sequel "...And Mother Makes Five" (1974–1976). Then came "Butterflies" (1978–1983), a successful comedy on BBC2.