Post Office – Leyburn, East Witton – Opening Hours & Branch Details Post Office is easily reached at 22 East Witton, a 3.33 mile driving distance south-east of the centre of Leyburn (near St John The Evangelist and St Simon And St Jude). This branch is an important addition to the areas of East Witton, Thornton Steward, Swinithwaite, Caldbergh, Middleham and Coverham. Unfortunately, it is closed for all of today (Friday). Refer to this page for the specifics on Post Office Leyburn, East Witton, including the branch hours, address, email address and further pertinent information.