Olivor also eased her way into the burgeoning New York City cabaret scene of the early 1970s. She appeared at Reno Sweeney (cabaret), owned and operated by Lewis Friedman and Eliot Hubbard, which
Vito Russo described as "the center of the universe during the now-legendary cabaret revival of the early 1970s". Working steadily in the New York City cabaret scene, Olivor became noticeable enough for the
Columbia Records label and the
William Morris Agency to sign her. Her debut album,
First Night, released in 1976, was named
Stereo Reviews Album of the Year. In September 1977, her second album,
Chasing Rainbows, was released to coincide with Olivor's debut at Carnegie Hall. The first pressing of the album contained a one-sided insert 45 RPM single of "
Some Enchanted Evening", re-recorded by Olivor and produced by
Charles Calello.
Chasing Rainbows was produced by Tom Catalano, the longtime producer of many of
Neil Diamond's hit singles and albums; Diamond was another influence and favorite of Olivor's. This album reached the Top 100 bestsellers, remaining in the charts for three months, and peaked at number 87 on the
Billboard charts. In between
Stay the Night and the release of
The Best Side of Goodbye, Olivor found herself busy with concerts and also toured as a special guest of
Johnny Mathis. The
51st Academy Awards ceremony in April 1979 marked the first time that all five of the nominated songs were performed by the artists who recorded them for the films themselves; Olivor and Mathis performed their "The Last Time I Felt Like This" duet live at the televised event. Olivor continued to headline at the
Greek Theatre in Los Angeles,
Carnegie Hall in New York, and other venues. Her fourth album,
The Best Side of Goodbye, produced by Louie Shelton, Michael Masser, and Jason Darrow, was released in 1980 and climbed to number 58 on the
Billboard charts. Columbia released the song "Don't Let Go of Me" as the album's only single.
Jane Olivor in Concert, her first live album, was recorded in December 1981 at the
Berklee College of Music in Boston, and released in 1982. It included "Race to the End", a vocal version of
Vangelis's
instrumental theme from the film
Chariots of Fire, and again "Stay the Night", as its singles. ==Performing hiatus==