The Fletcher-Vane (previously Vane-Fletcher) baronetcy, of Hutton in the Forest in the County of Cumberland, was a title in the Baronetage of Great Britain. It was created on 27 June 1786 at the end of his life for the landowner Lionel Vane-Fletcher.
His son, the 2nd Baronet, was a Member of Parliament for Winchelsea and Carlisle. He assumed the surname of Fletcher-Vane in lieu of Vane-Fletcher.
The 5th Baronet was involved in the Scouting movement. The title became extinct on his death in 1934.
The family estates at Hutton in the Forest passed to William Vane, a distant kinsman of the Fletcher-Vane baronets, who took the surname Fletcher-Vane in 1931 and was created Baron Inglewood in 1964. The surname reflects descent from the Fletcher baronets of Hutton, but Inglewood was not a descendant of the Fletcher family, unlike the Fletcher-Vane baronets who were direct descendants.