Introducing the Paratetrapoda with a new reconstruction of Pholidogaster

With questions arising
about the phylogenetic nesting of the fish-like paratetrapod Colosteus with Osteolepis, today several putative members of the Colosteidae were added to the large reptile tree (LRT, subset Fig. 1). According to Wikipedia, clade members should include Colosteus, Deltaherpeton, Greererpeton and Pholidogaster.

As you can see
(Fig. 1) only one putative member of the Colosteida. Pholidogaster nests with Colosteus. Deltaherpeton nests with Eryops the temnospondyl. Greererpeton nests between temnospondyls and the Neotetrapoda with Ichthyostega at its base.

A new clade
The Paratetrapoda is here defined as Colosteus, Osteolepis, their last common ancestor and all of their descendants. Derived taxa developed tetrapod-like limbs by convergence. The Neotetrapoda is here defined as Ichthyostega, Homo, their last common ancestor and all their descendants. This is the clade that leads to all other tetrapods.

Greererpeton burkemorani 
(Romer 1969, Smithson 1982, Godfrey 1989; Early Carboniferous, 320 mya; 1.5 m in length). Godfrey thought it nested closer to Proterogyrinus than to Ichthyostega. Here Greererpeton nests between temnospondyls, like Sclerocephalus and Ichthyostega. The skull was flattened with orbits on top of the skull. The lacrimal contacted the naris. The torso included some 41 presacral vertebrae. The pectoral girdle was robust. The limbs were small. The powerful tail was the chief organ of locomotion.

Deltaherpeton hiemstrae 
(Bolt JR and Lombard RE 2010; Viséan, Early Carboniferous; Fig. 3) nests with Eryops among the temnospondyls and appears to have a fused nasal/frontal.

Colosteus scutellatus 
(Newberry 1856, Hook 1983; Westphalian, Late Carboniferous, 305 mya; 1m in length; AMNH 6916; Fig. 4) was originally considered a fish (Pygopterus) and renamed by Cope 1869. Here Colosteus nests with Osteolepis and Pholidogaster (Figs. 5, 6) as a paratetrapod convergent with traditional tetrapods. The skull was ovate, the vomers and dentaries had fangs, the fins had transformed to tiny four-fingered limbs. The lacrimal did not reach the external naris. The scales remained large and rhomboid-shaped. Pectoral girdle had not yet evolved an external scapula and coracoid.

Pholidogaster pisciformes
(Huxley 1862, Panchen 1975; Visean, Early Carboniferous, 340 mya; Figs. 5, 6) was originally considered a labyrindont and an anthracosaur, but here nests with Osteolepis and Colosteus (Fig. 5) among the Paratetrapoda, a clade that developed limbs independent of the Tetrapoda.

The new skull reconstruction (Fig. 5) is narrower than in Panchen 1975 to match the premaxilla and pectoral girdle. The premaxilla carried a lateral fang and the dentary had a corresponding slot for it.

Remember
we have tetrapods crawling on shore and leaving footprints in the Middle Devonian, millions of years before Acanthostega and Ichthyostega in the latest Devonian. These famous taxa now appear to be conservative relicts retaining fish-like traits, rather than liberal land pioneers inventing tetrapod-like traits.

References
Agassiz L 1843. Recherches Sur Les Poissons Fossiles. Tome I (livr. 18). Imprimerie de Petitpierre, Neuchatel xxxii-188.
Bolt JR and Lombard RE 2010. Deltaherpeton hiemstrae, a New Colosteid Tetrapod from the Mississippian of Iowa. Journal of Paleontology. 84 (6): 1135–1151.
Godfrey SJ 1989. The postcranial skeletal anatomy of the Carboniferous tetrapod Greererpeton burkemorani Romer, 1969. Philosophical Transactions of The Royal Society B Biological Sciences 323(1213):75-133.
Hook RW 1983. Colosteus scutellatus (Newberry), a primtiive temnospondyl amphibian from the Middle Pennsylvanian of Linton, Ohio. American Museum Novitates 2770; 1-41.
Huxley TH 1862. On new labyrinthodonts from the Edinburgh Coal-field. Quarterly Journal of the Geological Society London18:291-296.
Panchen AL 1975. A New Genus and Species of Anthracosaur Amphibian from the Lower Carboniferous of Scotland and the Status of Pholidogaster pisciformis Huxley. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences 269(900):581-637.
Romer AS 1969. A temnospondylus labyrinthodont from the Lower Carboniferousw. Kirtlandia 6:1-20.
Smithson TR 1982. The cranial morphology of Greererpeton burkemorani Romer (Amphibia: Temnospondyli). Zoological Journal of the Linnean Society 76(1):29-90.

wiki/Greererpeton
wiki/Osteolepis
wiki/Colosteus
wiki/Pholidogaster