There are two bands named The Cockroaches 1) The Cockroaches was an Australian rock / pop band which achieved reasonable success in the 1980s and 1990s. The band took its name from an obscure nom de plume favoured by The Rolling Stones during the 1960s. The band is today best known for containing several members of the internationally successful children's musical group The Wiggles. 2) The Cockroaches are a Rockabilly / Big Beat / Garage band from Montréal, Canada. With Eddy Blake on vocals and bass, Spider on vocals and drums, and Dale on guitar and vocals.