Useful information links regarding the traces of the medieval structure;
http://www.gatehouse-gazetteer.info/Welshsites/23.html
http://www.britishlistedbuildings.co.uk/300007115-section-of-town-wall-at-watton-mount-brecon
http://walesher1974.org/herumd.php?linktable=her_source1_link&group=CPAT&level=3&docid=301357415
http://www.coflein.gov.uk/en/site/305725/details/town-walls-brecon
Below are two extremely helpful articles which have allowed me to locate the remains of the walls.
After becoming aware of where the site of the wall ruins remain, I have recorded 8 locations where I believe the medieval structure once stood. However, I am intrigued to learn where the wall would have run during the medieval period.