The Duke of Edinburgh was out of the public gaze at the Lowther Show as he helped to judge the carriage driving competition. More than 30,000 people are expected to attend the show over the weekend.
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John Davidson, who grew up in Newcastleton, was killed while trying to arrest a suspect last week.
Police are looking at CCTV footage after money was taken from her bag in a shop in the town.
Four other people have been released without charge, after Kevin Slater was found dead outside a property on Borland Avenue.