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After a long pause, I'll try to update my research on a more timely basis. Keeping in that vein....
I've finally found a photo of the headstone for Andrew P. Clendening. Andrew was the only son of my great-great-great grandfather Robert W. Clendening to serve in the Civil War. Andrew died 8 Apr 1865, far from home.. at the Union Army hospital on David's Island, near Staten Island. He is buried in Cypress Hills National Cemetery in Brooklyn. I don't know if any of his family have ever visited this grave site.
A big thanks to "Historical Passion" for posting my headstone request on Findagrave.