The type species, I. duncani. (named after the discoverer; former Deputy Mayor of Isisford, Ian Duncan) was discovered in the Winton Formation in Isisford, Queensland, Australia in the mid-1990s.[2][3] Most of the animal was discovered, with the exception of the front portion of the skull. On a later expedition to the location, paleontologists discovered a complete skull which differed from the original specimen in size only.[3] A second species I. molnari was named in 2019 from a braincase found in the Griman Creek Formation near Lightning Ridge, and the nominal species Crocodylus (Bottosaurus) selaslophensis Etheridge, 1917, based on a maxillary fragment from the same unit, was referred to I. molnari.[4] Later, however, Hart (2020) noted that the selaslophensis holotype doesn't overlap with that of AM F125553, so he retained Etheridge's species as a distinct species, I. selaslophensis, even though he raised the possibility that molnari could be synonymous with selaslophensis.[5]
The estimated body length of Isisfordia is 1.1 metres (3.6 ft).
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