[1] She began her acting career with stock companies,[1] and then won bit parts in movies including Anna and the King of Siam (1946),[1] and toured with Tallulah Bankhead in Noël Coward's play Private Lives from 1946 to 1948.

[2] Cobb, while touring with Private Lives in Chicago, Illinois, met broadcast journalist Mike Wallace.

[6] Beginning June 1951, the two also co-hosted a second show, All Around the Town, in which Wallace and Cobb conducted live interviews from locales including Coney Island, the New York City Ballet, backstage at the original Broadway production of Guys and Dolls starring Sam Levene as Nathan Detroit, and numerous restaurants.

[7] The New York Times critic Jack Gould wrote in 1951 that "the presentation of Mike and Buff constituted an object lesson in how television can be eminently educational without being self-conscious about it.

[1] In the 1960s, she and partners including Paul Vroom produced two Broadway shows: a revival of George Bernard Shaw's Too True to Be Good, which ran 94 performances and two previews at the 54th Street Theatre from March 9 to June 1, 1963; and Jerry Devine's Never Live Over a Pretzel Factory, which played nine performances and five previews from March 20 to April 4, 1964, at the Eugene O'Neill Theatre.

The following decade, she and partner Shepard Traube (1907–1983)[10] produced Devine's Children of the Wind, which ran six performances and one preview from October 23–27, 1973, at the Belasco Theatre.