Are you sure this is the right person?
Here father’s obit: https://www.legacy.com/obituaries/washingtonpost/obituary.aspx?n=franklin-g-duckworth&pid=3249796&fhid=4278
His parents’ names, below, from transcript of his SS application:
Franklin Garthwright Duckworth
Birth Date: 9 Oct 1928
Birth Place: Luke Unknown, Maryland
[Luke, Maryland]
Death Date: 28 Jan 2005
Father: Joseph F Duckworth
Mother: Winnie D Smith