Well done Keyboard! I spent ages yesterday, using every conceivable way ( except the right one, evidently

) of searching for these three people and I knew, just knew that they would turn up as lodgers or visitors in someone else's house.
But why would Thornton be
S Schofield? I am sure they are the right people but how very awkward of him to have the wrong initial. And it definitely is an S on the original image!
I am also fairly sure that the person down as
Thorton, whom Mary A found in 1911 is the right person and that Alice Beatrice Schofield is in Wortley in 1911, with neither Thornton or Nellie.
Have you tried
www.1911census.co.uk to search for them. They are definitely there, though I don't have credits to look at the full document and even if I had, we aren't allowed to post 1911 details in here.
Jen