Subphylum [Vertebrata] Cuvier, 1812 - vertebrates
Class Agnatha Cope, 1889
Subclass †Thelodonti Kiaer, 1932
Order †Furcacaudiformes Wilson & Caldwell, 1998 - forktail thelodonts
?Family †Barlowodidae Märss, Wilson & Thorsteinsson, 2002
Genus †Barlowodusᵀ Märss, Wilson & Thorsteinsson, 2002
†Barlowodus floralis Märss, Wilson & Thorsteinsson, 2002