Phonerpeton was first named by Dilkes (1990), with
Phonerpeton pricei as the only species. Dilkes also synonymized this species with
Acheloma whitei, which was also described by Olson (1941). Material referred to the taxon comes from the
Archer City,
Nocona, and
Petrolia Formations and was collected between 1934 and 1952 by parties led by
A.S. Romer,
L.I. Price, and R.V Witter. Schoch & Milner (2014) separated the former
Acheloma whitei from
P. pricei, distinguishing it by the shorter and more rounded external naris and an otic notch that was not slit-like. They restricted
P. pricei to the specimens from the Archer City Formation and
P. whitei to the specimens from the Petrolia Formation. == Anatomy ==