Yes, I can relate the three buildings to those at Carrwood. It looks like the building on the far right of the second photograph was part of the Norbury Mill complex.
If the 1831 Bryant’s map is to be believed, the cottages were in the “Park” rather than Cow Hay Wood itself.
The problem is that exact place names didn’t tend to become established until after the first generation of Ordnance Survey surveyors had completed their task. In order to establish what something was called, they simply asked one of the locals so it depended who they asked; and it subsequently tended to stick.