The United Pointsmen's and Signalmen's Society was founded in 1880 as the United Pointsmen and Signalmen's Mutual Aid and Sick Society. The name was shortened in 1908. The United Pointsmen's and Signalmen's Society was never a large organisation, when it amalgamated with the Amalgamated Society of Railway Servants of England, Ireland, Scotland and Wales and the General Railway Workers' Union in 1913 to form the National Union of Railwaymen it had just 4,101 members.
Reference: P.S. Bagwell, 'The railwaymen. History of the National Union of Railwaymen' (George Allen and Unwin, 1963) and P.S. Bagwell, 'The railwaymen. Volume 2: Beeching era and after' (George Allen and Unwin, 1982).