Hi Karen,
since you mentioned Richmond in the 1910 census there is an:

Name: Arthur Cooper
Birthplace: Virginia
State: VA
Age: 12
Color: B
Enumeration District: 0084
Visit: 0424
County: Richmond City, Richmond City
Relation: Grandson
Other Residents: Relation Name Age Birth Place
Head of Household Meredith Williams

Name: Meredith Williams
Birthplace: Virginia
State: VA
Age: 40
Color: B
Enumeration District: 0084
Visit: 0424
County: Richmond City, Richmond City
Relation: Head of Household
Other Residents: Relation Name Age Birth Place
Son Meredith, Jr 12 Virginia
Grandson Arthur Cooper 12 Virginia
Grandson William Mickens 05 Virginia
1 non-relative