Metropolitan Borough of the County of London 1900-65. It compromised the parish of Shoreditch (St Leonards) and part of the Liberty of Norton Folgate. The Town Hall, originally the Vestry Hall was in Old Street; there was also a Magistrates Court; the Coroner's Court was in Boundary Street. It was incorporated into the London Borough of Hackney. The Town Hall is now looked after by the Shoreditch Town Hall Trust.
The Wikipedia page is [1]
The website for the former Town Hall is [2].
There is an illustrated history of Shoreditch, David Mander, 'More Light, More Power', published 1996.
See also List of Mayors of Shoreditch.