The medal in question was a medal given to Confederate veterans after the war by the United Daughters of the Confederacy.

http://www.google.com/url?sa=t&rct=j&q=southern%20cross%20of%20honor&source=web&cd=3&cad=rja&uact=8&ved=0CEwQFjAC&url=http%3A%2F%2Fen.wikipedia.org%2Fwiki%2FSouthern_Cross_of_Honor&ei=lyW5VPjgEfTGsQSQ_oKoCg&usg=AFQjCNHiwt2hgTU6yV7VIS_7qv60zT0CdQ&bvm=bv.83829542,d.cWc

http://www.google.com/url?sa=t&rct=j&q=United+Daughters+of+the+Confederacy+&source=web&cd=2&cad=rja&uact=8&ved=0CCwQFjAB&url=http%3A%2F%2Fen.wikipedia.org%2Fwiki%2FUnited_Daughters_of_the_Confederacy&ei=USa5VOLQG4fHsQSW6YGgAQ&usg=AFQjCNEeQTfyZ8p99b7J8vwjCtydZd-xEw&bvm=bv.83829542,d.cWc

Was your ancestors members of the United Confederate Veterans?

http://www.google.com/url?sa=t&rct=j&q=united%20confederate%20veterans&source=web&cd=1&cad=rja&uact=8&ved=0CCAQFjAA&url=http%3A%2F%2Fen.wikipedia.org%2Fwiki%2FUnited_Confederate_Veterans&ei=cia5VIHVN_aNsQS_wYLYDA&usg=AFQjCNGxo0UhV524aST4m-1mvBwpkgO0Ow&bvm=bv.83829542,d.cWc

If they where here is the online index to the Confederate Veteran.

http://www.google.com/url?sa=t&rct=j&q=confederate%20veteran%20magazine&source=web&cd=1&cad=rja&uact=8&ved=0CCAQFjAA&url=http%3A%2F%2Fonlinebooks.library.upenn.edu%2Fwebbin%2Fserial%3Fid%3Dconfedvet&ei=_ia5VI2rN5HLsASAwIH4CQ&usg=AFQjCNEHGWVCZNhPUfQHnTCI_J3cP3UUzQ&bvm=bv.83829542,d.cWc

You can search for their names by puting them in the box like you would for a Google search.

Here is some aditional infomation about the Veteran.

http://en.wikipedia.org/wiki/Confederate_Veteran

GOOD LUCK!

Note:

This medal was given AFTER the war.

The CSA just didn't have the metal to spare for something like this.