In the early days of live television, she appeared in numerous episodes of such anthology drama series as Studio One, Kraft Television Theatre, and Robert Montgomery Presents. In addition to her role on Loving, she had roles on numerous other daytime soaps, including Young Dr. Malone, Another World, As the World Turns, Love is a Many-Splendored Thing, A World Apart, Guiding Light,General Hospital, and The Doctors.
Dabney was married twice. Her first husband was actor Kevin McCarthy, with whom she had three children. They were married in 1941 and divorced in 1961. She was therefore sister-in-law to writer Mary McCarthy during this marriage. Her second husband was actorWilliam Prince. They were married from 1964 until his death in 1996. Dabney and Prince appeared together on at least four soaps:Young Dr. Malone (before their marriage), Another World, As the World Turns, and A World Apart. They also appeared together in one film, The Paper (1994), where they portrayed a married couple (the parents of the lead character, Henry Hackett, played by Michael Keaton).
Dabney's last performance was on an episode of 100 Centre Street (2001).