We are missing the boat here.

The 63rd Tennessee, along with much of Longstreet's command, camped in the area for about four months, roughly January through the end of April 1864. As described here, Johnson's Tennessee Brigade moved from Bristol by rail to Richmond VA, leaving on May 1, 1864:

http://www.tngennet.org/civilwar/csainf/csa63.html

Skirmishes took place in and around Zollicofer, particularly in Nov. 1863, but none involved this regiment.