I think the elder John Floyd ran or was promoted for the presidency in the time frame that you mentioned - 1836?. I have the references in my notes somewhere, and will try to post a copy of the material. Meantime, if you will go to the Virginia Magazine of History, you can find generous coverage of these Floyds. Also, The Mormon Library has a number of published books on the Floyd Family. As I recall, they include some coverage of the Virginia family.