No probs. I did start by checking the 1861 anyhow.
1861
King St,Duffield
Ann Hingley,head,wid,83,Derby, Little Eaton
Selena Smith,gdau,8,Notts,Mansfield
Thomas Sherwin,lodger,u,25,lab,Derby,Duffield
RG9-2507/43
1851
King St,Duffield
Ann Hingley,head,w,74,pauper formerly servant,Derby,Little Eaton
(She is 4 households away from Thomas and Ann Smith)
HO107-2144/141
Selina Smith bpt 27 Sept 1840 Duffield, parents Thomas and Ann Smith
(presume she died, there is a death reg at Belper Dec qtr 1840)
Alice Smith bpt 23 Aug 1847 Duffield, parents Thomas and Ann Smith
Enock Smith bpt 23 Aug 1847 Duffield, parents Thomas and Ann Smith
(from IGI)
Can't tell if that Alice is the same one as in the census. John Thomas seems to have slipped the net
