Still no joy.
Tried LKS, Glasgow, DNB, RFW - but no sign of them.
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Looked for George as; GEO* B* age 38 +/- 10yrs.
Also as just Geo* with no surname, but none similar to "Bateman".
And all born in Wales of ANY name that were in LKS 1851 - nothing suitable.
Lucinda, forename as LU*, also as just *A.
Wee Marion as M*N (no surname) age 5 +/- 2yrs.
So they're either missing, in another County, or i'm not searching properly (the most likely reason!).
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In the indexes some families shout and wave from an upstairs window,
and one family will sit in the back parlour with the curtains drawn.
I think that's where yours were in 1851....
Jack