Thanks for posting on History Hub.
Go to familysearch.org. it is free but you need to join to search. The following link will take you to the 1920 census.
All you need to do is enter your father's name, and the state of Kentucky. https://www.familysearch.org/search/collection/1488411 Join before entering link
How do you find censuses in family search? I can't find them.