Alderley Edge is a former Urban District in Cheshire, based in the village of Alderley Edge. It was created in 1894 and abolished in 1974 when it was incorporated into the Borough of Macclesfield, which was itself abolished in 2009.
The archives were deposited with Cheshire Archives and Local Studies: some information here http://discovery.nationalarchives.gov.uk/details/rd/59622b49-fca1-4c7e-95fb-a9f5dac55e81.