Vacation rentals in Old Madison

I want to make sure I’m accurate: I can’t verify a town named “Old Madison” in South Carolina. Could you share a source or clarify the location (for example, the county or nearby city)? If you’d like, I can also provide a generic 2–3 sentence blurb that fits a small South Carolina town—focusing on Southern hospitality, historic charm, and outdoor recreation—until you confirm the specifics.