The extinct polyneopterous order Caloneurodea Handlirsch, which includes more than 20 species, has been found in Eurasia and North America, and ranges from the Upper Carboniferous to the Upper Permian. North American records are most numerous from the Lower Permian Wellington Formation of Kansas and Oklahoma. The genus Ligogramma, provisionally assigned by Béthoux et al., 2004, to either Caloneurodea or Orthoptera, is herein redescribed and placed in the Caloneurodea, based on the discovery of a new species, Ligogramma wichita, described from a specimen collected from Noble County, Oklahoma. This brings the total number of Caloneurodea currently known from the Wellington Formation to eight species.