You probably have these already, but just in case you don't:

Daily National Republican (Washington, DC) 24 Nov 1863:

http://chroniclingamerica.loc.gov/lccn/sn86053570/1863-11-24/ed-1/seq-2/#date1=1860&index=2&rows=20&words=5+Alabama+infantry+th&searchType=basic&sequence=0&state=&date2=1922&proxtext=%225th+Alabama+Infantry%22&y=13&x=22&dateFilterType=yearRange&page=1

Edgefield Advertiser (Edgefield, SC) 18 Jan 1865:

http://chroniclingamerica.loc.gov/lccn/sn84026897/1865-01-18/ed-1/seq-2/#date1=1860&index=1&rows=20&words=5+Alabama+Infantry+th&searchType=basic&sequence=0&state=&date2=1922&proxtext=%225th+Alabama+Infantry%22&y=13&x=22&dateFilterType=yearRange&page=1

Alexandria gazette (Alexandria, DC) 18 Aug 1898

http://chroniclingamerica.loc.gov/lccn/sn85025007/1898-08-18/ed-1/seq-2/#date1=1860&index=0&rows=20&words=5+Alabama+Infantry+th&searchType=basic&sequence=0&state=&date2=1922&proxtext=%225th+Alabama+Infantry%22&y=13&x=22&dateFilterType=yearRange&page=1