Was Company H from Tallapoosa County? If so, could this be related:
"The Emuckfau Guards and the Horseshoe Rangers are the only antebellum militia companies from [Tallapoosa] county for which names have been found and given the spirit of the time they may have existed in name only." Source: "A FEW SOLDIERS OF OLD TALLAPOOSA" at http://ww2.dixie-net.com/gwilson/