In the Zoological Catalogue of Australia (2002), volume 19.2A, p. 335-336, few data on the distribution are summarized, that I am quoting here:
Type locality: along shores of Bay of Islands, New Zealand.
Distribution: Lord Howe Island; New Zealand, Juan Fernadez Ils (Chile), west coast of South America.
Ecology: supratidal, terrestrial.
References: Green, A.J.A., this work (Lord Howe Is. record); Chilton, C. (1924). Fauna of the Chilka Lake. Tanaidacea and Isopoda. Mem. Indian Mus. 5:875-895 [894] (record from Lord Howe Is., as L. australiensis); Green, A.J.A. (1974). Oniscoidea (Terrestrial Isopoda). pp. 229-249 in Williams, W.D. (ed.) Biogeography and Ecology in Tasmania. The Hague: Junk [240] (excluded from mainland Australia).