In the Ballyclug interment records which are shortly to be published on the Braid site, there are records of 95 Carsons buried between 1875-1972. Four of them have Duffin as a first name.
29 Feb 1876 Duffin Carson 26 Drumadaragh Kilbride
30 Mar 1883 Duffin Carson 28 Ballee Kells
24 Jan 1888 Duffin Carson 67 Farmer Ballee Kells
17 Aug 1948 Duffin Carson 98 Joiner Queen St Ballymena
There are no records of where they were buried so you might be able to narrow it down in the list of plot owners from c1875 which have 3 plots listed under Carson:
Jas. Carson, Ballylesson, 3 graves, South of Kanes H St, Old No.2, New No.39-41
Duffin Carson, Balle, 2 graves, at S. Wall, Old No.11, New No.not recorded
James Carson, Ballynulto, 14 graves, In trust, for right of interment of 26 Families, Old No.163, New No.176-189
Also Carson graves are marked on the new map at 175, 207, 532-3, 588 so that is 6 stones in total should be there although only 4 are in the Braid inscriptions (which are not always accurate).
New No. 532-3 is near the south wall so that is likely to be the plot registered for Duffin Carson. According to the new map it is in the far opposite corner from the entrance and to the right of a Walker headstone.
