In terms of Confederate weapons used for sharpshooting purposes have globe sights, there is a very intriguing chapter in Dr. Murphy's book on Confederate Muskets and Rifles...Chapter 33 titled "Macon (Georgia) Arsenal Sharpshooter and Scouting Rifles and Repaired Musket. Murphy put about 40 years worth of research into 2 books and dug up a lot of original Confederate correspondence between various arsenals, officers, and the Confederate Ordnance Dept. I know a great deal of emphasis is placed on British imports such as the Whitworth and Kerr rifles, but so I was surprised in my reading to learn that the Macon Arsenal produced a number of sharpshooting and scout rifles from what they call "Connecticut rifles" and country style rifles. They correspondence seems to term sharpshooting rifles as having telescopic sights (which were hard to come by) and scouting rifles as having "globe sights".
A letter from Major Cuyler of the Macon arsenal to Colonel Gorgas...head of Confederate Ordnance dated Aug. 18, 1863 you might find useful:
"I discontinuted making the sharpshooting rifles for the reason that several months ago all the skillful workmen in the arms shop left me and went to the State Armory at Milledgeville where they obtained higher wages. ...etc...etc....(he's not really happy about it)...."I have on hand, finished, seven rifles with telescopic sights and eight with globe sights. One of the latter was sent you and was inspected at the Richmond Armory and approved. The barrels of these rifles were taken from old country rifles and differ in their dimensions, but are of the same bore...(Note: nobody really know the borse size of these Macon guns...butHodkins, the builder suggested they use .48 caliber...while Confederate documents specified all new weapons mfd after mid-1862 were supposed to be .577 caliber. Clearly, .45 Caliber Kerrs and Whitworths were excused after 1862..so I would imagine that the case for the Macon sharpshooter rifles...in fact, I have a relic brass CSA marked bullet Mold that micrometers out to about .47-.48 caliber). "It is for this reason that the eight mentioned above with globe sights have not had the telescope attached, the barrels being too small. I have components finished for about 50 rifles but have no barrels. If barrels could be made in Richmond and sent me, I could have made 163 more guns with telscopic sights. The number of telescopes rec'd from Charleston was one hundred seventy. (Hmmmm...could these have been scopesrun through the blockade?) I send you per Express one of the guns with sight attached. The progress would necessarily be slow with them, even if I had the barrels, in consequence of the small force in the shop." P. 440 Murphy.
Hope that is of some help to you.