Wesserpeton was first named by Steven C. Sweetman and James D. Gardner in 2013 and the type species is Wesserpeton evansae.
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The type locality (Bed 38) is exposed at Yaverland while the rest (Bed L2) are exposed high in the cliff at Sudmoor Point but have yielded only NHMUK PV R36539, R36522 and R36553–36558.