Hello Laveda,

Odd - I find the family I think you are talking about listed in Ward 7, not 5 and Oliver's birthplace in 1870 as Mississippi, not Alabama.
No first name is listed - just the initial - but it does seem to be the exact same family in 1880 listed under Oliver.

What census records are you looking at? These are the one's on ancestry. I think it has created confusion for the folks who have been attempting to search for you.

Indexed in 1870:

Name: B Baily
Estimated birth year: abt 1830
Age in 1870: 40
Birthplace: Mississippi
Home in 1870: Ward 7, Claiborne, Louisiana
Race: Black
Gender: Male
Post Office: Homer
listed in household:

Ailey 30 b. Mississippi
Minnie 9 b. Louisiana
Emaline 5 b. Louisiana
Mary 6
Clara 5
Jerome 6/12
Margaret 23 b. Georgia

no relationships listed

In 1880 I find:

Name: Oliver Bailey
Home in 1880: 5th Ward, Claiborne, Louisiana
Age: 56
Estimated birth year: abt 1824
Birthplace: Tennessee
Relation to head-of-household: Head
Spouse's name: Ailsey
Father's birthplace: VA
Mother's birthplace: VA
Neighbors: View others on page
Occupation: Farm Laborer
Marital Status: Married
Race: Black
Gender: Male

Household members:

Ailsey Bailey 44 wife b. Virginia
Emiline Bailey 18 daughter b. Louisiana f. TN m. VA
Mary Bailey 16 daughter b. Louisiana
Clarra Bailey 13 daughter b. Louisiana
Jerome Bailey 11 son b. Louisiana
William Bailey 8 son b. Louisiana
Abram Bailey 6 son b. Louisiana
Elvira Bailey 4 daughter b. Louisiana
Robbert Bailey 1 son b. Louisiana

There is an Oliver Bailey listed in 1870, born in Alabama:

Name: Oliver Baily
Estimated birth year: abt 1854
Age in 1870: 16
Birthplace: Alabama
Home in 1870: Ward 8, Claiborne, Louisiana
Family and neighbors: View Results
Race: Black
Gender: Male
Value of real estate: View image
Post Office: Lisbon

in the household of an L. Bailey.