Glossop Poor Law Union (and therefore the workhouse) constituted the following parishes:
Glossop, including Glossop Dale, Charlesworth Churnal, Hadfield and Dinting, Padfield, Somondley, Whitfield, Ludworth and Chisworth.
Aston under Lyne Poor Law Union was comprised of the following parishes:
Lancashire: Ashton under Lyne, Denton, Droylsden, Haughton.
Cheshire: Duckingfield [Dukinfield], Godley, Hattersley, Hollingworth, Matley, Mottram, Newton, Stayley, Tintwistle.
Later Additions (all from 1894): Alt, Audenshaw, Bardsley, Crossbank, Hartshead, Hurst, Lees, Little Moss, Mossley, Stalybridge, Waterloo, Woodhouses.
Those people committed to a workhouse were referred by their parish.
So if the home parish was Tintwistle, they would be in the Ashton under Lyne workhouse.
http://www.workhouses.org.uk/AshtonUnderLyne/I think you're out of luck re records?
But try Tameside Local Studies and Archives Centre, Central Library, Old Street, Ashton-under-Lyne OL6 7SG.
The union's records were pulped during the Second World War with the exception of the Union Constitution (1837) and Guardians' Minutes (1837-1930).