Thomas Carroll Mitchell’s father, according to his death record, was Joseph Mitchell. Also according to his death record, Thomas was born in “Jonesburrow”, TN in 1826. So, in the 1830 census he should be 4 years old. I looked in TN and turned up a Joseph Mitchell with a boy under 5. This could be the family. I looked for other Joseph’s and none of the others (there were only 2 or 3 total) had a boy under 5. This document is located in my Ancestry.com shoebox.

This could be a possible father to Thomas. I’ve got to do some more checking and working by elimination since I can’t find anything else about him right now.