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David was aged 38 at the time, indicating he was born c.1795.
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There is a marriage record on Ancestry for a David Williams and Alice Jones who wedded on 16 September 1816 at St Nicholas church, Liverpool, Lancashire.
If this was my GGGG/GF, he would have been 21.
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One of their two daughters, my GGG/GM, Ann Mawbey (nee Williams), was born in 1819.
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There is a record on the NSW Births Deaths and Marriages register of a David Williams dying in Newtown in 1870.
And a newspaper Family Notice for another one, formerly of Newtown, who died on 5 May 1872 at his daughter's residence in Melbourne.
Was this his other daughter, Margaret?
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David Williams had been a cooper, making wooden barrels, and it is possible he may have worked in one or both of the two breweries in nearby Parramatta Street (now Road).
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There is also a John Williams working as a cooper listed in a trades directory who may have been his son.