First, I need to correct an error in my earlier posting to you. Franklin is divided into 10 townships on my map, not 9 as I stated before. Now, regarding your research: my map does indicate a W.A. Mitchell in Freeman's Twp.. His property was near the eaternmost border of the township and neighbors included Dent to the south, Conyers to the north, Harris to the east, and another party (whose name is illegible on my image) to the west. This is the only Mitchell I find in Freeman's Twp. on this map. As I continue my research, I'll try to keep an eye out for your Richard A. Mitchell and will let you know if I come across anything else. You might also want to place queries on the Mitchell & Pearce surname boards (if you haven't already done so). I am in Franklin county and talk to a lot of people as I gather research for my book, so I'll try to see if the name rings a bell with anyone I talk with.
Once again, best of luck in your research.