Carmarthen (Kermerdyn) was given a grant of murage dated 10/5/1315.
This was in the form of:-
Wording 
Grant, for three years, to the bailiffs and good men of Kermerdyn of murage upon all wares brought for sale into their town. By pet. of C.
Granted by Edward II. (Regnal year 8). Granted at Thunderley. Granted by pet. of C..
Details of the petition which resulted in this grant can be seen 
at this link. 
Primary Sources 
Maxwell Lyte, H.C. (ed), 1898, 
Calendar of Patent Rolls Edward II (1313-17) Vol. 2 p. 287 
online copy
Secondary Sources 
Coulson, Charles, 2009, Murage Grants (Handwritten list and notes)
     
Record created by Philip Davis. This record created 13/01/2009. Last updated on 03/05/2012. First published online 5/01/2013.