Tennessee pension applications under matches for "J" Smith don't have the right middle initial, or have no initial at all. The nearest match to this name in Tennessee pension applications is Isaac D. Smith of Dibrell's regiment. That application was made from Pickett County.
Of course if he or his widow moved out of state the application may have been made elsewhere.
Copies of this man's service file are available through the message board. This link appears at the top of the page.