Wobbegongs are a family of 12, but only one of them belongs to the genus Sutorectus: the Cobbler wobbegong (Sutorectus tentaculatus).

Since the meaning of “cobbler” is wide-ranging, I don’t attempt to explain the English name (but I don’t think it has anything to do with food), but the Latin name as well as the German name (“Warzen-Teppichhai” means warts wobbegong) are fairly self-explanatory, since it does have tentacle-like barbels and warts.

A Cobbler Wobbegong, Sutorectus tentaculatus, at Wool Bay, South Australia. Source: Chris Hall / MLSSA. License: CC by Attribution-NonCommercial-ShareAlike

Living off Southern and Southwestern Australia, Cobbler Wobbegongs are ovoviviparous and up to 36 in – 92 cm- long. Due to their small size they aren’t targeted, but constitute nevertheless 0.9% of all elasmobranch catches from gillnets in their habitat.

Sources: here and here