Randall appeared in other television productions before portraying Ruthie Saylor, a reference-desk worker, in the 1957 film "Desk Set" starring Spencer Tracy and Katharine Hepburn. Randall's reoccurring role as a teacher on "Leave It to Beaver" spanned the years 1958 to 1962, when the actress was in her twenties. She appeared in 28 episodes of the popular sitcom after replacing Diane Brewster, who played Miss Canfield during the first season and in the 1980s television movies based on the series. Randall's first appearance as Miss Landers was in the "Leave It to Beaver" episode "Ward's Problem", which originally aired on October 16, 1958.