I believe this may actually be the 1870 Census of them. Note the elder Scotts, one from Tennessee and one from Kentucky. Interesting theory that the children of these widowed/widowers maybe from the war maybe? Note the census and the names. I think it appears that their first names are in the middle names place/etc.
Note that in the 1880 Census his age is further off. I think this was an error. His AGE 35 but born in 1935. This is the only family that seems to match up. If anyone else finds any other ones let me know:
https://familysearch.org/ark:/61903/1:1:M46R-9H8
HOUSEHOLD
ROLE
GENDER
AGE
BIRTHPLACE
J C Scott M 24 Missouri
Scott F 21 Missouri
M A Scott F 2 Missouri
A J Scott M 1 Missouri
CITING THIS RECORD