In 1959 she took over the leading role in First Impression from Polly Bergen, playing Elizabeth Bennett in a musical based on Pride and Prejudice.
In 1962, Martin won the role of Nancy Bowden in the film Cape Fear which also starred Gregory Peck, Polly Bergen, and Robert Mitchum.
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He was cast in 1964 in two other films, as Captain Anderson in A Tiger Walks, and as Secret Service agent John O'Connor in Kisses for My President, with Polly Bergen as the first woman President of the United States, with Fred MacMurray as "First Husband."
Polly Bergen and her father, Bill Bergen, performed a duet of "I'll Buy You a Star" on her 1957-58 variety show, The Polly Bergen Show, which aired on NBC.