Suggest you start with the county in GA where the family is located in 1870 and 1880 - Hancock county.

Then take a look at 1860 slave schedules to see if there is a slaveowner named Reed or Reid - which there is:

Age Gender Race Name of Slave Owner Home in 1860
(City,County,State) View Image

36 Male Black John Reid Not Stated, Hancock, Georgia
35 Male Black John Reid Not Stated, Hancock, Georgia
25 Female Black John Reid Not Stated, Hancock, Georgia
22 Female Black John Reid Not Stated, Hancock, Georgia
4 Female Black John Reid Not Stated, Hancock, Georgia
1 Female Black John Reid Not Stated, Hancock, Georgia

This is usually the best starting place.

Investigate this white family. Since all of the children are born in GA - you can begin to estimate at what point Randall was in GA - though listed as born VA in 1870.

Denise