Carmarthen (Kermerdyn) was given a grant of murage dated 18/7/1312.
This was in the form of:-
Wording 
Grant for three years to the bailiffs and good men of the town of Kermerdyn of murage upon all wares brought for sale into the town. By K., on the information of A. de Valencia, earl of Pembroke.
Granted by Edward II. (Regnal year 5). Granted at Westminster. Granted by K., on the information of A. de Valencia, earl of Pembroke..
Details of the petition which resulted in this grant can be seen 
at this link. 
Primary Sources 
Maxwell Lyte, H.C. (ed), 1894, 
Calendar of Patent Rolls Edward II (1307-13) Vol. 1 p. 480 
online copy
Secondary Sources 
Coulson, Charles, 2009, Murage Grants (Handwritten list and notes)
     
Record created by Philip Davis. This record created 11/01/2009. Last updated on 03/05/2012. First published online 5/01/2013.