Clinton County is a rural county in south-central Kentucky along the Cumberland River. Known for affordable land prices, minimal zoning restrictions, and strong agricultural use, Clinton County is popular with homesteaders and off-grid buyers. County seat: Albany. Discover the charm of Fleming County in Eastern Kentucky, with Flemingsburg as its county seat. Home to over 14,000 residents, this county boasts fertile farmland and scenic landscapes, making it an attractive destination for agricultural ventures and those seeking a peaceful, rural lifestyle.