Hi Alberta,

Though not the exact family - I would take a look at the record for an Abrahm Miles in Russell Alabama (you may have this already):

Name: Abram Miles
Estimated Birth Year: abt 1820
Age in 1870: 50
Birthplace: Georgia
Home in 1870: Silver Run, Russell, Alabama
Race: Colored
Gender: Male

Post Office: Seale Station

You might want to hold onto this one as a possible grandparent for your Abe - given naming patterns in families.
Strangely there is a Eunicy listed in the household - wrong age by 10 years for yours - but a remote possible.

Denise