UPS – Cockermouth – Opening Hours & Location Details UPS is directly found on Windmill Lane, approximately 0.59 miles east of the centre of Cockermouth (a few minutes walk from Windmill Lane At Melbreak Avenue). The branch principally serves people from the locales of Cockermouth Town Centre, Riverdale, Slatefell, Harrot Hill, The Laureats, Evening Hill, Parklands and The Moor. Today (Friday), its open hours are 7:00 am – 9:00 pm. This page includes hours of business, address or contact info for UPS Cockermouth.