Neville S. Pledge first visited the type locality in 1983 and collected two boulders. These two rocks, however, were forgotten until 2001 when a partial vertebra were discovered within. The site was subsequently revisited and another specimen, a partial cranium, was discovered. Pledge referred a radius, collected from the same cliff in 1994, to his newly named species.[4]
Pledge provisionally assigned Willungacetus to Aetiocetidae, but this assignment still needs to be confirmed.[5]