There was a town in Mississippi that was 100% black and held elections. They elected Republican mayors into the 1980s.
I once read about a small black town in Mississippi in an otherwise white county, and the county government allowed the blacks there to vote. However, they would then publish the results precinct by precinct in the local paper. No candidate wanted to be on the record as winning the vote there, and whoever did would spend the time between the first round and the run-off race baiting even beyond normal Mississippi Jim Crow levels to try and escape the stain of being a "n----r lover". I wonder if we're thinking of the same town.