You may already have this information, but I feel obligated to tell you that the name J. H. Good also appears on the "Enumeration for Confederate Soldiers and Widows" for the years 1908 and 1913 in Tishomingo County.
The transcriptions for the above documents can be found at the following link:
http://www.usgennet.org/usa/ms/county/tishomingo/cwtc.html
Good luck in your search--