Rheidol, formerly named Treze de Maio and Talybont, was a 2-4-0T steam locomotive built by W.G. Bagnall in Staffordshire, England, in 1896. Originally built to a gauge of 2 ft 5+1⁄2 in (750 mm), it was ordered to work at a Brazilian sugar plantation, however the order was cancelled before it was exported. The locomotive was then regauged and renamed to work on the 2 ft 3 in (686 mm)-gauge Plynlimon and Hafan Tramway, in Wales, where the locomotive worked from August 1897 until 1899. It was then regauged and renamed a second time, to work on the 1 ft 11+3⁄4 in (603 mm)-gauge Vale of Rheidol Railway, which it did from 1900 until 1924, when it was scrapped.