The legislative session after the 2014 election was the last time the Kentucky democrats held a majority in the KY House of Representatives.
Thanks to the GOP leaving many seats uncontested(combined the Dems and GOP left 46 seats in the 100 seat House uncontested) & lingering Dem Rural strength in Kentucky the Map seen bellow is likely the last time for the foreseeable future KY has a Dem Majority house.