Eudaemonema cuspidata was named by Simpson (1935). Its type specimen is U.S.N.M. no. 9314, a mandible (left lower jaw with C, P2-M3, and roots or alveoli of all other teeth), and it is a 3D body fossil. Its type locality is Gidley Quarry, which is in a Torrejonian terrestrial horizon in the Fort Union Formation of Montana. It is the type species of Eudaemonema.