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According to the above article the original building was largely pulled down in 1868. However a building on the site was still called Attercliffe Hall. In 1878 "Attercliffe Hall" was a club for working men - with a bar - the steward was Mr Milner, presumably of the Milners who had previously resided there. In February 1879 part of the hall was advertised for rent: four low rooms, four bedrooms, W.C., stable and coach-house. Gamalial Milner occuped Attercliffe House or Hall - on Attercliffe Green Road, changed to Lord Street, now Leeds Road

Your Attercliffe Hall can't be the same one, the Wesleyan Church would certainly be there in 1871, but it wasn't called 'Hall.' Ifound this picture on the Picture Sheffield site, which would seem more likely. I don't have any addresses, but you should be able to trace it if you have access to the 1871 census, nearby entries will have a street name or a number.