Leah Peak was named by Mary Schäffer in her expedition through the area in 1908 to find Maligne Lake. She also named nearby Samson Peak. Leah Beaver was the wife of Samson Beaver. Samson was a Stoney Indian who befriended Mary and provided her with a hand drawn map to assist her with finding the way to the elusive lake. Samson visited the lake with his father at the age of 14, and 16 years later he drew the map from memory when he met Mary at Elliott Barnes' cabin on the Kootenay Plains in the Saskatchewan Valley.