Her father is John Anders and her mother is Maney Lindsey.
Her death certificate, which lists her parents, is available at:
https://www.familysearch.org/ark:/61903/3:1:3Q9M-C91F-N3RX?cc=1417492&personaUrl=%2Fark%3A%2F61903%2F1%3A1%3AQ2SV-1G82
Her obituary also lists them as her parents. "Mrs. W.S. Duncan," The Greenville News (Greenville, North Carolina), January 22, 1959, p. 22.