overshot wheels ran by Inverted pump

Does anyone know of mills with overshot wheels being fed water by use of inverted pumps in the SC, NC, VA, TN area?

I think we need more information. What is an inverted pump in this situation, and how would it help run a water wheel? The only "inverted pumps" I can find are to help inverted nipples in breastfeeding, or for mixing nuclear waste.