Here’s a long shot.

T. M. Hall, 2nd Lieutenant, Corps of Engineers, C. S. A.
Note, there is no information as to his assignments.

M258 Compiled Service Records of Confederate Soldiers Who Served in Organizations Raised Directly by the Confederate Government. Engineers, C. S. A.

Here is one organization in the Louisiana area.

1st Engineers Battalion was organized during the winter of 1863 - 1864 with four companies. Its members were from Arkansas, Texas, Louisiana, and Missouri. Serving in the Trans-Mississippi Department, two companies were stationed in the Galveston area and two were involved in Price’s Missouri Expedition. The two at Galveston were included in the surrender in June, 1865, but the two that served with General Price appear to have disbanded near Shreveport, Louisiana.
http://www.angelfire.com/rebellion2/engineers/history.html