My RV Parks App, shows only 2 parks in Jackson, both are on Old Hwy 49S, North & South of I-20. We stayed at the one on the South, called "Cleveland's Trailer Town". Mostly a trailer park, but they do have some RV sites. Not the greatest place, but was adequate for overnight.
On edit, saw that you were looking for information about Memphis. Well, we stayed at the Memphis River Park, @ 870 Cotton Gin Place, which was real nice.
Roland & Jerri, with Maggie & Mollie, our Pups; '05 Fleetwood Providence, 39' DP; '08 Saturn. "The difference between genius and stupidity is genius has it's limits" (Einstein)