Because the town of Cincinnati pretty much disappeared many years ago, the cemetery is located in the middle of a cornfield. It is very well maintained today, but shows signs that suggest it has not always been so. There is no onsite directory, so I would recommend stopping at the Beatrice Public Library or the Pawnee City Historical Society before heading out into the countryside; the cemetery is small enough to walk around looking for stones, but you'd want to be sure you are looking for Cincinnati rather than the DuBois or Pawnee City cemeteries before braving the gravel roads to Cincinnati. It also appears that there were a lot of burials for which there are no markers visible today.
I found markers for several of my relatives, both direct ancestors like Elisha and Flora DeWitt and Elizabeth DeWitt, and for other Miners, Lores and DeWitts. I've put them all on my website at Cincinnati Cemetery. (I only took pictures of relatives or probable relatives, which I estimate at approximately 1/4 of the visible markers.)