I am Curator at the Ottawa County Historical Museum. In our copy of the book, Cemetery Inscriptions of Ottawa County, Ohio, there is on page 194 in the Clay Township (Clay-Genoa) Cemetery a listing for
Gleason, John (GAR mkr-Co I 41 Ohio Inf) no dates
There are no other Gleasons or Gleesons listed anywhere in the book. I can scan and email the page or snail mail it to you if it might help.
Happy Hunting -- Vicki Ashton Ottawa County Historical Museum 126 West Third Street Port Clinton, Ohio 43452 419/732-2237 firstname.lastname@example.org