Today, people living within a few miles of the Lafayette County line consider themselves more related to Union County than Lafayette, as they are closer to New Albany than Oxford. I know a number of people living in this area today. Looking at the map below, the Union Hill cemetery would be in the vicinity of the intersection of Marshall, Tippah, and Pontotoc county. Oxford is the dot near the center of Lafayette County, and if you look at the Tallahatchie (Tullahatchie on the map), it forks in Pontotoc County. New Albany is located on the north fork (called "Little Tallatchie River") just below the Tippah County line.
To add to the rest of it, somewhere, but I can't remember where, (lots of company during Christmas made me forget where I was on this in Dec), Company F was recruited at "Tacaleeche", an extinct town that is in this area just across the Marshall County line. It would have been the only company formed specifically in this area.
Looking at the "W. Carroll"s in the S and S, there really aren't any likely possibilities for the aforementioned William Carroll, who was appx 20 years old in 1860. Well, William J Carroll was in Co C, 27th Mississippi Infantry, which was formed not too far outside of the area of concern, maybe 18 or so miles in the opposite direction.
Anyway, I've been pretty busy, and changed departments where I work, and have been pretty beat in the evenings, but I am still thinking about him.
Frank