Until security of the location becomes a paramount priority for the Forest Preserve, it'll be a futile effort. We'll go in, right some stones, clean off other stones, and in a week's time our hard work will be undone because of the attraction that place has for vandalism.
In terms of laying new markers, there's very little out there to tell us who is buried where. Also keep in mind that the size of the current cemetery is not how big the Grove has always been. There's burials outside the fenced area. The fence only marks where the boundaries are imagined to be based off existing stones. You've got Hageman on the south, Newman on the west, Fulton on the north, and Rippet & Mendenhall to the east to mark your "modern" (term used loosely) boundaries.