In 1920 Your father is listed with his grandmother and mother who is listed as wife of Henry Woods, so your father is listed under surname Woods:

Name: Serenia Akers
[Serina Akers]
Age: 61 years
Estimated birth year: abt 1859
Birthplace: Virginia
Race: Black
[Colored]
Home in 1920: Roanoke Kimball Ward, Roanoke (Independent City), Virginia
Sex: Female
Marital status: Widow
Relation to Head of House: Mother

Raymond C Woods - 8
Nora Woods 31
Henry Woods 33