I've checked all the 1901 census records that I can find for Annie Walker and for her daughter Laura (or Daisy as she was always known in the family) without any results. I guess I'm just going to have to accept that either they were missed or were using other names. Either way, that means I'm not going to find them.
Thanks to all for the help and advice.
Mod: I think you can remove this from brick walls.