She was married twice, first to T. W. "Teddy" Baumfeld, who helped manage her career. After they divorced, she married George J. Manuche Jr., a former U.S. Air Force pilot and owner of Mike Manuche's Restaurant in Manhattan, in 1955. In 1961, she again replaced Mary Martin in a Broadway role, Maria in "The Sound of Music". She then performed in non-musical productions such as "Mary, Mary" at The National Theatre in Washington, D.C. She also continued to sing on the radio for WCBS in her own daily show for several years and recorded several albums such as "Censored" and "Love, Honor and All That Jazz: Songs for After the Honeymoon Is Over" (RCA Victor, 1960). She also appears on "Firestone Presents Your Christmas Favorites" (1964) with Gordon MacRae, Franco Corelli, and Roberta Peters. On television, she appeared on "The Bell Telephone Hour" several times and in her own 15-minute series, "The Martha Wright Show", which aired in 1954 on Sunday evenings on ABC opposite Ronald W. Reagan's "General Electric Theater" on CBS. She also appeared on "The Ed Sullivan Show" and "The Tonight Show" with Jack Paar. In 1961, she appeared in a Stephen Sondheim biographical special on CBS in their series "The American Musical Theatre". She performed a solo act around the U.S. at venues such as The Cocoanut Grove nightclub at The Ambassador Hotel, Los Angeles. She was a World's Fair Ambassadress in Seattle in 1962.