- McVeagh was married to character actor/director Clarke Gordon (her fourth husband) at the time of her death. She had four children and nine grandchildren. One of her grandsons, Dr. Paul Robert Appleby, PhD, who was raised effectively as McVeagh's fifth child, is a Research Scientist and Assistant Professor at the Keck School of Medicine and at the Annenberg School for Communication and Journalism (both at the University of Southern California).
- McVeagh's memorial service at Los Angeles's Hodges Theater was hosted by actor Ed Begley Jr., a longtime friend. The service was attended by approximately 200 people.
- McVeagh's contributions to film were recognized by the bestowal of membership in the actor's branch of the Academy of Motion Picture Arts and Sciences. Her contributions in film spanned 33 years.
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