So this is the info from those censuses you mention, so that we have the info to look at:
1851 Low Town, Oldbury, Worcestershire
Benjamin Baley Head M 41 Coal Miner Worcestershire Oldbury
Eliza Do Wife M 41 Do
Thomas Smith Son 18 Coal Miner do
Lucianna Do Daug 12 Do
Mary Ann Do Dau 11 Do
Charles Smith Son 4 Do
George Do Son 3 Do
Harritt Do Dau 2 Do
NK NK NK Do.
A Smith family next door who may or may not be related - Joseph age 59 born Oldbury with wife Elizabeth age 49 born Warwick and children Elizabeth 22 Thomas 18 and Joseph 16, all born Oldbury.
1861 Dingle St., Oldbury, Staffordshire
Eliza Bayley Head Mar 51 Lincolnshire Naveury
John Do Son Un 14 Forge lad Worcs Holbury
Harriot Do Daur Do 12 Do Do
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