Spongia rigida Esper, 1794 (pl. XXVII figs 1–2) was described ybrecognizably by Esper, its origin was not known by him, and no type material survived. Nevertheless, Duchassaing & Michelotti (1864) (p. 61, pl. XII fig. 1) recognized Esper's description and illustration, and redescribed it from freshly collected and dried material as Luffaria rigida. Wiedenmayer (1977) (p. 77) described Bahamas specimen under the mistaken name Verongula ardis De Laubenfels, 1936. Klaus Rützler found this to be Aiolochroia crassa). Van Soest (1978) (p. 67) subsequently honored Duchassaing & Michelotti's (1864) redescription by renaming the species as Verongula rigida (Esper, 1794).
Duchassaing de Fonbressin, P.; Michelotti, G. (1864). Spongiaires de la mer Caraibe. <em>Natuurkundige verhandelingen van de Hollandsche maatschappij der wetenschappen te Haarlem.</em> 21(2): 1-124, pls I-XXV.