Order Eoblattida Handlirsch, 1906, sensu Aristov, 2015, comprises 16 extinct families and a single extant one, Grylloblattidae Walker, 1914. Three species of the genus Stereopterum Carpenter, 1950 (Euryptilonidae) from the Elmo, Kansas and Midco, Oklahoma Lower Permian were the only Wellington Formation taxa attributed by Aristov (2015) to the Eoblattida. This assignment was based on work by Carpenter (1950, 1966), for the Kansas records and Beckemeyer and Hall (2007), for the Oklahoma record. In this paper, a new eoblattid genus and species is described based on a specimen collected by Paul Tasch in the 1960′s from the Lower Permian Wellington Formation of Marion County, Kansas and is assigned to family Blattogryllidae Rasnitsyn, 1976.