Hi Haydn - since you mention hatters - Stockport is the area most associated with hatting and has the Hat Works Museum related to the industry - can't see they'd have much in the way of employment records, though:
http://www.hatworks.org.uk/default.aspThere was certainly hatting in Audenshaw too, as well as other industry & trades. Audenshaw is now relatively small and your relatives could easily have travelled a mile or two and worked in Ashton under Lyne, Openshaw, Denton or Hyde for example. From the local history website I see that Audenshaw used to extend further in the late 1800s - I can't find Dale Street on either current maps or my 1980s A-Z (pre-M60 cutting through Audenshaw), so it may be in an adjacent area not now regarded as Audenshaw.
The long established local paper for the area is the Reporter series - now called the Tameside Reporter - in the past there was for example the Ashton Reporter, Denton Reporter - each would then have an even more local edition with a page devoted to the smaller area. The current website is
http://www.tamesidereporter.com/aboutus.phpbut I can't see that their archive goes back beyond a few weeks.
I think to go forward you probably need to either visit the Tameside Local Studies or perhaps use the service offered on the Audenshaw Local History site, unless you can pin down more dates to go with the names - and to do that would probably be either costly for numerous certificates or involve a visit to the area. Perhaps you could include a visit as part of a future trip, eg to the Peak District, if you're not local enough to make it as a day journey from home.
Best wishes
Modified - it occurred to me that some of the children may have been involved in WW1 - have you tried any searches on the CWGC site for casualties or on the UK National Inventory of War Memorials - I found there's a Harry Ward listed on the memorial at Audenshaw Cemetery - probably not yours, but a search around may produce something.