Barham was the son of Henry A. Barham, Sr. (1882-1961), and Lockie H. Barham (1884–1973). The family owned Barham's Dairy in Bastrop. His brother, Henry Barham, Jr. (1919-1993) and sister-in-law, Ann Jocelyn Heres Barham (1929-2015), operated Barham's Drugs in Bastrop. Ann Barham was the first woman pharmacist in Morehouse Parish.<ref>{{cite web|url=http://www.legacy.com/obituaries/thenewsstar/obituary.aspx?n=ann-barham&pid=176843362&fhid=20705|title=Ann Barham obituary|publisher=''The Monroe News-Star''|date=December 11, 2015|accessdate=January 29, 2020}}</ref> | Barham was the son of Henry A. Barham, Sr. (1882-1961), and Lockie H. Barham (1884–1973). The family owned Barham's Dairy in Bastrop. His brother, Henry Barham, Jr. (1919-1993) and sister-in-law, Ann Jocelyn Heres Barham (1929-2015), operated Barham's Drugs in Bastrop. Ann Barham was the first woman pharmacist in Morehouse Parish.<ref>{{cite web|url=http://www.legacy.com/obituaries/thenewsstar/obituary.aspx?n=ann-barham&pid=176843362&fhid=20705|title=Ann Barham obituary|publisher=''The Monroe News-Star''|date=December 11, 2015|accessdate=January 29, 2020}}</ref> |