Civil War Soldiers & Sailors System shows this...

Source: http://www.itd.nps.gov/cwss/soldiers.cfm

J.F. Priddy
2nd Regiment (Davidson's) Mississippi Inf. (Army of 10000)
Company A
Soldier's Rank_In Private
Soldier's Rank_Out Private
NOTE: This Company, known as "Dixie Boys", was raised in Itawamba and Tishommgo Counties.

If this is your great-great-grandfather then there is your ticket to the SCV. Let us know if we can help further.