Kammala jumla mai zuwa: An fara gina ƙofar ne bayan nasarar da Edward I ya yi a Arewacin Wales a 1282, a matsayin wani ɓangare na jerin sansanonin Ingilishi da aka tsara don sarrafa 'yan asalin Welsh. Ubangiji na farko na Ingilishi na Denbigh shi ne Henry de Lacy, Earl na Lincoln, wanda Sarki Edward I ya nada, kuma wanda ke da alhakin gina ƙofar Burgess. Wataƙila Henry ya yi amfani da masanin gine-gine James na St George don gina ƙofar. Ya kasance babban masanin gine-ginen soja na lokacin, wanda ke da alhakin tsara wasu manyan gidaje a Wales kamar Harlech da Conwy. An kammala ƙofar ta 1294 duk da cewa manyan gine-ginen suna har yanzu ana gina su a lokacin mutuwar Edward a 1311. An karya ƙofar a 1400 a lokacin Glyndŵr Rising ko da yake bai iya ɗaukar castle kanta ba kuma daga baya ya janye. Birnin ya sake kamawa, kuma a wannan lokacin ya rushe, ta hanyar sojojin Lancastrian a lokacin
yaƙe-yaƙe na wardi, bayan tsohuwar garin da ke cikin ganuwar an watsar da shi; Kofar Burgess a nan ta zama wani ɓangare na garuruwan waje na kariya sakamakon haka. Akwai shaidar lalacewar bindiga a lokacin yakin basasa, musamman a hasumiyar yamma.