Thrall's Heavy Artillery, listed as part of the Department of Mississippi and East Louisiana, December 1862, 1st Military District, Troops at Columbus. This may explain why in July 1863, the Commander of 1st Military District describes his efforts to get the battery organized as a six gun mounted battery. Any thought on what guns they were manning at Columbus in December 1862?
http://texashistory.unt.edu/ark:/67531/metapth154627/m1/815/?q=Thrall