Speaking of sharpshooters, there was a short-lived and little-known unit called Stone's Infantry Battalion, Sharpshooters. In Sifakis' Compendium it says they were organized in the summer of 63 from members of the 40th AL Infantry "not captured at Vicksburg" who later rejoined their proper commands upon the exchange of their regiment in November 63. They were assigned to Ector's Brigade, and they fought at Chickamauga and the Chattanooga Siege.
There is an article on the unit in Samuel H. Sprott's Cush: a Civil War Memoir. It says that "on April 28th [1863], Companies A, D, and I, under command of Major T. O. Stone were ordered up the Yazoo and Sunflower Rivers upon a scouting expedition, and to do picket duty. These three companies were thus separated from the regiment and being about one hundred miles up the Sunflower River when the enemy invested Vicksburg, were cut off and did not rejoin the regiment until just a few days before the battle of Lookout Mountain...." But, no mention of acting as sharpshooters. Anyone have anything else? Were they actually sharpshooters, or not?