Finding only two census for Allendale SC for Joe Aiken and Lucy
it is conflicting.. but giving it to you

1880 Allendale SC
Joe Aiken age 24 b. 1853 SC SC SC occ: shoemaker
Lucy 22 SC SC SC
William 3

1900 allendale Sc
Joe 44
Lucy 32

as you can see with lucy.. there is a 10 yr descripency between the 20 yrs. all census will be found with conflicting years, usually 3-4 yrs.. not 10 years.

do you know anything other info. that could be helpful?