Children on 1880 census are surnamed Conley (and she is buried by Conleys).
She appears twice on the 1880 census - once as head of family (listed as married, but husband not listed) with children: George, Annie, and Josephine Conley. Second listing is as a prisoner in Fulton County Prison. (Other info the same - age, occupation, birthplace, and married.)
First husband William Conley. Second husband Dennis Murphy.