Sorry folks

Have totally failed to find the references you kindly supplied.
Neither Ancestry, FindMyPast, FS nor FreeCen have obliged with any of the names you found - Wilkins or Waltons.
Thanks for the link to FS - yes that's fine, but as you say no free image.
Ditto for 1871: no sign of Withers, Waltons, Wilkins. The only Edwin was Edwin POOLE age 67 of Brm. No Walter willing to put up their hands.
Could you supply the
Household ID
Line Number
Page Number
Piece/Folio
Registration Number
Enumeration District
Ecclesiastical District
Civil Parish
when you do find them? Much obliged