Francis Trevithick (1812–1877) (also known to as Frank) was the eldest surviving son of Richard Trevithick (1771–1833) and Jane Harvey, engineer and inventor of the high pressure steam engine. In 1842 he was appointed the Resident Engineer on the Grand Junction Railway between Birmingham and Crewe and in 1841 became Locomotive Superintendent at the Grand Junction Railway’s works at Edge Hill. In 1843 he was transferred to Crewe Works, London and North Western Railway as Locomotive Superintendent, (Northern Division). In 1857 the North and North-Eastern Division were combined, Francis was forced to resign and was succeeded by John Ramsbottom. He went on to become factor of the Trehidy estates, Cornwall of which his grandfather had been the mineral agent in the eighteenth century. He died in Cornwall on 27 October 1877.

Francis Trevithick was married to Mary Ewart (1819-1889) and had four children: Richard, Robert, Francis and Jane. He published a bibliography of his father called 'Life of Richard Trevithick' in 1872.