The species was first described by George Robert Gray in 1833, then placed in the genus Didymuria by Kirby in 1904.

[1] C. marginipennis resembles a eucalyptus twig and can grow up to 20 cm in length.

[3] This species can be distinguished from other members of the family by their extremely long cerci and by the appearance of their eggs.

[5] This species is quite common in heaths and woodlands from southern Queensland south to Victoria, but prefers coastal environments.

[5][3] The female lays 3 mm elliptical eggs that look like plant seeds.