Kentucky Census Information
Formed in 1839 from parts of Clay, Perry and Estill Counties, this was the 89th county formed and was named for Governor John Breathitt. Located in the Cumberland Plateau region of the state, the elevation in the county ranges from 650 to 1600 feet above sea level. This is a terrific site with loads of information - but unfortunately it doesn't look like there are a lot of COOK families here.
1880 Census -
36. HENSLEY John age 32 K K K
I found this notation but did not find the household on that web page
Heads of Households - # indicates the household #
another file shows another John Hensley but the date of birth does not match
314. John Hensley 4/66 s/o Fielding