Parmelia was a barque built in Quebec, Canada, in 1825. Originally registered on 31 May in Quebec, she sailed to Great Britain and assumed British registry. She made one voyage for the British East India Company (EIC), in 1827–1828. In 1829 she transported the first civilian officials and settlers of the Swan River Colony to Western Australia. She then made two voyages transporting convicts to New South Wales, Australia. A fire damaged her irreparably in May 1839.