Hi Bob,
I'm sure that Joseph's name on the 1881 census must be a transcription error by the enumerator i.e. the enumerator misread BITHELL when he copied the Householder's Schedule into his Enumeration Book.
We can't do anything about an enumerator's error but the transcription errors one finds leave me gasping.
Joseph BITHELL and family in 1891 have the surname written out just the once; other members of the family have _"_ marks under it. But the transcriber couldn't even get that right! Joseph, his wife, and three of their children are transcribed as BITHELL - the other two as BETHELL!
But that's as nothing compared to the rest of the page. Admittedly much of it is hard to read - but much is not.
Here are some gems - the first is my reading, the second is what the transcriber recorded.
Example 1 - the BAKER family is transcribed as OPEL!
BAKER Henry/ OPEL George
BAKER Jane F(?)/ OPEL Jane
BAKER Charles E/ OPEL Charles Y
BAKER Clara E/ OPEL Clara
BAKER Walter J(?)/ OPEL Wallie
BAKER John E/ OPEL John E
BAKER Ernest U(?)/ OPEL Ermil G
BAKER Ann ?/ OPEL Ann
Example 2 - the STANTON family is transcribed as GERSHON
STANTON Charles/ GERSHON Charles
STANTON Selina/ GERSHON Lenna
STANTON Alfred/ GERSHON Alfred
STANTON Ellen/ GERSHON Ellen
STANTON Gertrude/ GERSHON Gertrude
STANTON Harry/ GERSHON Harry
STANTON Herbert/ GERSHON Herbert
And we wonder why we can't find our ancestors in censuses! Imagine if one were looking for poor Henry BAKER, the Japanner, in 1891 - searching for him under George OPEL would not immediately spring to mind

JAP