The answer to your original question is yes, there was a cemetery at the poor farm. It was located in the lower end of a field not that far from Stout's Creek. The county paid for coffins and the opening of graves, but did not furnish stones. I was out there (with the permission of the current landowners) last year and the area is completely overgrown. There were at least 50 burials that took place there, though some of those were not of the poor farm inmates. Hope this helps.
President, Iron County (MO) Historical Society