I think this is the Henry who married Ann Tait. According to the 1841 census his birth should be in 1816, but births were often rounded to the 5 years in that Census. Family in the 1841 Census of Belford in the town of Easington. Living with them is Margaret Tarbit b 1826 (Henry's sister) working as a Farm Servant.
1841 census Easington Belford
Henry Tarbit/25/Ag Lab/?No
Ann/25/Y
Agnes/6/Y
William/4/Y
Mary/2/Y
Margaret/15/Farm Serv/Y
1851
DCRO M3/18, HO 107/2391, Folio 271, Page 35, Record 118.
From Harry Coxon - Mar 1997. 1851 census
St Giles parish,Carrville, Durham.
Henry Tarbit/H/M/40 years/Coal-miner/b Duddo, NBL.
Ann Tarbit/W/M/40 years/b Bowson, NBL.(? Bowsdon)
Agnes Tarbit/D/Unm/16 years/b Healrig, NBL.(?Hazelrigg)
William Tarbit/S/Unm/14 years/Scholar/b Heddon, NBL.
Mary Ann Tarbit/D/12 years/Scholar/b Newburn, NBL.
Elizabeth Tarbit/D/10 years/Scholar/b Ashington, NBL.
James Tarbit/S/7 years/Scholar/b Belford, NBL.
Jane Tarbit/D/2 years/b Durham, Co.Durham.