The names of the children on the 1871 census - follow those on the 1861 census - so the same family. Ages can vary between census returns for whatever reason

1861 census Viney Well

William WEBB - unmarried - 40 Cordwainer Workman
Mary PARRY - Housekeeper unmarried aged 29 - born Awre
Charlotte - 1
William E - 1 month

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Haven't gone this far back, but on the page before this census is a

Charles PARRY - aged 34 - Coalminer born West Dean
Fanny PARRY - 30
Fanny - 8
Esther - 4
Rhoda - 2

With the Christian name Fanny - just ? whether Charles & Mary are related.

There should be newspaper reports his William's trial etc etc.