He wrote a biography of his father and, in 1872, had it published. He died at Penzance on 27 October 1877 and was buried there. Another son, Frederick Harvey Trevithick (1852-1931), worked for both the Great Western Railway and the Egyptian State Railways and at the latter advanced to Chief Mechanical Engineer.
1840 Appointed resident engineer on the GJR between Birmingham and Crewe
1841 Appointed Locomotive Superintendent of the GJR at Edge Hill railway works, Liverpool
1843 Transferred to the new works at Crewe as Locomotive Superintendent.
Trevithick"s foreman at Crewe was Alexander Allan, who handled much of the design work. 1846 When the GJR became part of the LNWR, Francis Trevithick became Locomotive Superintendent of the Northern Division.
His opposite number on the Southern Division (formerly the London & Birmingham Railway), was Edward Bury until his resignation in 1847, and from March in that year J. East. McConnell. 1857 Northern and North Eastern (formerly the Manchester & Birmingham Railway) Divisions of the LNWR were combined.
The Locomotive Superintendent on the North Eastern Division was John Ramsbottom, who took over at Crewe and Trevithick was obliged to resign.