Greggs – Cockermouth, Oakhurst – Opening Hours & Store Details Greggs is ideally situated on Lamplugh Road, about a 0.63 mile distance south of the centre of Cockermouth (near to Lakeland Business Park Bus Stop). This store is an added feature to the areas of Riverdale, Evening Hill, Harrot Hill, Cockermouth, Moor Park, Slatefell, Parklands and The Moor. Today (on Friday) it is open 6:00 am until 5:00 pm. Please review the specifics on this page for Greggs Cockermouth, Oakhurst, including the hours of opening, local directions and phone details.