Barclay approaches her painting with dynamism and energetic physicality, and has a host of successful solo shows to her credit. Her paintings hang in many public and private collections worldwide including Ernie Els, Sir Arnold Clark, Lord Harris, Sultan of Brunei, Alex McLeish, Sir Jack Harvey HBOS, Biggart Baillie, and Arisaig Partners. Muriel received the Mabel MacKinlay Award and the Glasgow Art Club Fellowship from the RGI, the John Green Fine Art Award at the PAI and the Glasgow Society of Women Artists, special award.