Cumbria enjoys one of the longest networks of rights of way in England and Wales. Footpaths alone, come to 3,386 miles (5,450km). And Hallbankgate and its environs have a fair share of them.
This map on the Cumbria County Council web site indicates various rights of way including footpaths. All you need to do is enter Hallbankgate School into the search line at the top of the map page and zoom in.