I don't think there is any poodle blood in Rillington or Gutchcommon lines.
Gutch common lines are full of it mate,rillington are x breds as well,there is no such thing as a true bedlington any more,critics were complaining about its decline in the 1940's,70 years ago,theres no such thing as a bedlington,just x breeds we call bedlingtons.
What you mean a bit like jack russels ie any mainly white coloured terrier?
Or plummer, how about patterdales?