I think you are right about the mention of the hospital's move to Cleveland being a big clue. There is no mention of Cleveland/Cleaveland disease in any of my nursing books or any other reference material. It may very well be a name used uniquely to the Civil War period in Cleveland, TN. I would imagine if you can find an account of that hospital and find out if a prevalent disease went through, that might be what you are looking for and we know it by another name. On some documents, my GG-Grandfather was noted as having died from "lung fever" but when I got the documents from the National Archies, it was Rubella, or common measles.