Phylum Brachiopoda Duméril, 1806 - brachiopods Subphylum Rhynchonelliformea Williams et al., 1996 Class Rhynchonellata Williams et al., 1996 Order †Orthida Schuchert & Cooper, 1932 Suborder †Orthidina Schuchert & Cooper, 1932 Superfamily †Orthoidea Woodward, 1852 Family †Glyptorthidae Schuchert & Cooper, 1931