If you're looking for a meeting place or a good stop around ½ or halfway between Louisville and Carrollton, KY, you can try La Grange, KY, which is about half an hour northeast of Louisville, or about half an hour southwest of Carrollton, KY.
Another possible place to stop near the midpoint is Tarascon.
About ¼ or a fourth of the way, you can stop at Barbourmeade, KY. This is about 12 minutes east of Louisville.
About ⅓ or a third of the way, you can stop at Brownsboro, KY. This is about 16 minutes northeast of Louisville.
About ⅔ or two thirds of the way, you can stop at Sulphur, KY. This is about half an hour northeast of Louisville, or about 18 minutes south of Carrollton, KY.
About ¾ or three fourths of the way, you can stop at Campbellsburg, KY. This is about half an hour northeast of Louisville, or about 14 minutes south of Carrollton, KY.
If you drive straight through without stopping at all, the total distance is 52 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 52 minutes.