Looks as if the 1841 census with Mary HINDER is correct as Edwin was living in the Hundreds of St Briavels 1841 census
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FOD records

Marriage at Hewelsfield - 9 November 1842

Edwin BEACH - full age, Batchelor, Shoemaker, Hundreds of St Briavels

father's name: Humphrey BEACH, Grocer

married

Mary PROBERT, Spinster, Hundred of St Briavels

father: Richard ROBERT, foreman Coal Works

witnesses: Jane ASTON, Peter DARBY

and next door to his father Humphrey on the 1851 census West Dean

BEACH

Edwin - 31
Mary - 31
Pricila - 7
Alfred - 5
Caleb - 4
Henry -3
Henry HALE - 30