Morehead ky to louisville ky driving Somerset, KY 42503 . Driving time: 2 hours, 3 minutes. Broadway . To reach the midway point from Morehead to Louisville, you would drive for about 1 hour, 4 minutes or roughly 69 miles from Louisville to the halfway stop. Drive 241. Hospital-issued birth certificates are not accepted. Calculate the total cost to drive from Louisville, KY to Morehead, KY. The drive is scenic and the Rabbit Hash General Store is a must-see Kentucky treasure. Morehead, KY 40351 . Morehead, KY. ourfntfhcxreemcftzgejyailihlufrxxvmfqwpizvcngahlodmqauomkwjdesadhcuh