Eucla is nestled right up against the South Australian border, near the Great Australian Bight.

The Eucla location was chosen for a telegraph station which opened in 1877. However, in the 1970s, Eucla was made infamous after reports of the "Nullarbor nymph", which was a very tall tale made up by a local to increase visitor numbers to Eucla.

The Museum’s small collection includes an original printing press, items from the telegraph station and telephone exchange.