Mount Morrison was named in 1918 for Sir Edward Whipple Bancroft Morrison (1867-1925), Major General in the Canadian Army during the First World War. Earlier in his career, he served in the Royal Canadian Dragoons with Sir Richard Ernest William Turner in 1900 during the Second Boer War under the command of Brigadier-General Horace Smith-Dorrien. Not coincidentally, Mount Morrison is situated two kilometres south of Mount Turner.