Hi Sandra
The 1841 census of Oxfordshire and North Berkshire has been transcribed and indexed by the members of Oxfordshire FHS.
I assume that BURNHILL is the surname that interests you - always best to capitalise surnames so that we all know what we're looking for. If so, our index has one BURNEL entry (in Oxford itself), four BURNELL entries (outside of the city) and two BURNHILL entries (both in Oxford itself).
I thought for a moment that the latter might be in prison, but in fact :-
HO 107/891/18 Oxford City Oxford St. Thomas
Folio, Place, H, Surname, Forename, Age, Occpn, Born in county?
58, County Goal , , BURNHILL , Robert , 55 , Prison Officer , N
58, County Goal , , BURNHILL , Sarah , 55 , Wife , N
Does that help ?
Paul Gaskell
Minutes Secretary and Publicity Officer
Oxfordshire Family History Society
Web :
www.ofhs.org.ukE-mail :
publicity@ofhs.org.uk