Eastminster was an iron full-rigged ship built in Port Glasgow, Scotland, in 1876. She operated as an emigrant vessel.
Eastminster was last seen departing Maryborough, Queensland, Australia, after ignoring a warning from the harbor pilot, heading out to sea in a rising gale on 17 February 1888, bound for Newcastle, New South Wales, Australia. Eastminster was presumed lost during a tropical cyclone that passed through the area immediately afterward. Her wreckage was reported on a coral reef in the Capricorn and Bunker Group in the Coral Sea approximately east of Rockhampton, Queensland.