McKeever continued to take class and worked on her acting chops by performing in summer stock in New York. She was cast in the musical
A Carefree Heart that never made it to Broadway. Also in that show was veteran performer
Susan Johnson, who helped McKeever get a part in a new musical based on the 1953 film ''
The Captain's Paradise''. McKeever said, "
José Ferrer, the director, picked me for the part because he said I had an innocent look. ....I don't know about that, though." The musical was
Oh, Captain!, starring
Tony Randall as the Captain, and in which McKeever made her Broadway debut. The show opened at the
Neil Simon Theatre in February 1958 and played 192 performances. McKeever played the part that in the film was portrayed by
Celia Johnson. She had to learn an English accent, which she said she did by watching movies. The producers also made her lose weight for the role. Critics praised her performance as a proper English wife who kicks up her heels on a trip to Paris. For this role, McKeever received a
Tony Award nomination (her co-stars, Susan Johnson and Tony Randall, were also nominated and the show received a nomination for Best Musical). Johnson and McKeever were nominated for Best Featured Actress in a Musical together but lost to
Barbara Cook for
The Music Man. In 1964 she was the female lead in the first Australian production of the musical
Camelot alongside
Paul Daneman which opened at
Her Majesty's Theatre, Melbourne. ==Television==