I don't claim any authority here, but I would like to point out a couple of minor details that might aid in the overall "discovery" on this gun. First, it is interesting that the engraver used upper and lower case for the two letters/initials. As a student of the companion art of Southern silversmithing and engraving, this is odd, and perplexing. Are we in agreement this actually reads "C g" and not "G g"? I can't find a period font that makes a "C" in that manner with such a pronounced middle/inner serif instead of a dividing one to the left. I may be totally off, but I tend to read this as a capital "G".
Also, is it possible that the artisan who made the stock signed his work, or might this be the initials of the gunsmith, or owner? I don't see that anyone has yet referenced this clue. The placement, to me, indicates one of the makers.
It's good to see an exchange of ideas on such a gun. I think I might speak for some others in hoping to see a fuller "checklist" of documented Mecklenburg gun styles, motifs, and construction elements to better make comparison before assuming this is the only contender for place of manufacture. Major trade arteries carried goods, craftsmen, and trends a long way, even in 1814. It is very safe and reasonable to consider first a broader region for origin. That doesn't exclude Mecklenburg County, but it makes us realize the potential for a gun to travel to Virginia, South Carolina, Tennessee or Georgia and, if any component was altered or repaired later in the 19th century (which the possibility of is NOT an attack upon the integrity of the gun), it could be influenced by a gunsmith and styles from another county or state.