I have the book, Bynam and Baynham Families of America 1616-1850 by Robert William Baird. In the index to the book there are 24 different pages with reference to "Tapley Bynum". This seems a common Bynum name.
Can you provide more information on the Tapley Bynum who died in Hickman County, Kentucky? If so, we might be able to find out how he fits into the Bynum family.