For those of you researching this family...a word of caution; I have found the surname spelled quite differently in online records as well as published. Some are:
ADCOCK, ADCOXS, ADCOKS, ATCOCK, ADCOC, ADECOCK, ADCOK AND MANY MORE.

CENSUS: 1860 United States Federal Census
Name: Columbus Adcock
Age in 1860: 2
Birth Year: abt 1858
Birthplace: South Carolina
Home in 1860: Regiment 42, Anderson, South Carolina
Gender: Male
Post Office: Golden Spring
Value of real estate:
Household Members: Name Age
Riley Adcock 29
Elizabeth Adcock 25
William Adcock 5
Columbus Adcock 2

CENSUS: 1870 United States Federal Census
Name: Doctor Adcock
Estimated birth year: abt 1858
Age in 1870: 12
Birthplace: South Carolina
Home in 1870: Pickens, Pickens, South Carolina
Family and neighbors:
Race: White
Gender: Male
Value of real estate:
Post Office: Pickens
CENSUS: 1880 United States Federal Census
Name: Doctor Adcoxs
Age: 22
Birth Year: abt 1858
Birthplace: South Carolina
Home in 1880: Liberty, Pickens, South Carolina
Race: White
Gender: Male
Relation to Head of House: Self (Head)
Marital Status: Married
Father's Birthplace: South Carolina
Mother's Birthplace: South Carolina
Household Members: Name Age
Doctor Adcoxs 22
Eliza A. Adcoxs 20

CENSUS: 1900 United States Federal Census
Name: Columbus C Adcock
Home in 1900: Central, Pickens, South Carolina
Age: 43
Estimated birth year: abt 1857
Birthplace: South Carolina
Relationship to head-of-house: Head
Spouse's name: Eliza
Race: White
Occupation:
Neighbors:
Household Members: Name Age
Columbus C Adcock 43
Eliza Adcock 39
Katie J Adcock 20
Jane M Adcock 18
Mattie F Adcock 16
Sherman Adcock 6
Pearl Adcock 7
May B Adcock 5
Mittie Adcock 3

CENSUS: 1910 United States Federal Census. Don't know how or why the move to eastern Alabama?
Name: Calumbus Alcox [Calumbess Adcox]
Age in 1910: 53
Estimated birth year: abt 1857
Birthplace: South Carolina
Relation to Head of House: Head
Father's Birth Place: South Carolina
Mother's Birth Place: South Carolina
Spouse's name: Liza
Home in 1910: Webster, Fayette, Alabama
Marital Status: Married
Race: White
Gender: Male
Neighbors:
Household Members: Name Age
Calumbus Alcox 53
Liza Alcox 49
Mia Alcox 15
Millie Alcox 12
Crayton Alcox 7

CENSUS: 1920 United States Federal Census
Name: Columbus C Adcox
Home in 1920: Central, Pickens, South Carolina
Age: 64 years
Estimated birth year: abt 1856
Birthplace: South Carolina
Relation to Head of House: Head
Spouse's name: Eliza
Father's Birth Place: South Carolina
Mother's Birth Place: South Carolina
Marital Status: Married
Race: White
Sex: Male
Home owned: Rent
Able to read: Yes
Able to Write: Yes
Image: 902
Neighbors:
Household Members: Name Age
Columbus C Adcox 64
Eliza Adcox 59
Crayton Adcox 17