A stop along the Natchez Trace Parkway that has now been turned into a camping site is Rocky Springs. Once upon a time, there was a town on this spot, but currently, the only thing left is the still-active church, the church cemetery, and a couple of remnants of the old town, like a bank vault that was cemented into the ground.
Located in Thibodaux, LA the historic site is mostly the remnants of the old plantation. Right along the road, you can view the long-abandoned slave cabins, that later become homesteader cabins, during the time that this was the largest sugar producer in Lafourche Parish. As it is, the roadside is a reminder of a different time, and a source of some really interesting examples of capturing abandoned history as you take a drive in the country.
You can learn more about the history here.