UPS – Cookstown – Opening Hours & Location Details UPS is easily reached on Burn Road, approximately a 0.49 mile distance north-west of the centre of Cookstown (along A29 / Chapel Street). The branch is a significant addition to the locales of Sullenboy, Maloon, Tullagh, Aughlish, Killymam, Loy, Coolreaghs and Monrush. Its opening times for today (Friday) are 24 hours. This page will provide you with all the information you need on UPS Cookstown, including the business times, street address, direct telephone and more important info.