I think the OP has confused the mother Mary with a daughter Alice Mary born 9 April 1913 and died 16 April 1916.
Ref WWI enlistment of Richard Lewis. - He is a Tailor by trade.
wife Mary (she is his second wife)
Anne born 23 September 1901
Edward William born 8 May 1903
Alice May born 9 April 1913 )noted as from 2nd wife
Gwen Gwenneth born 21 June 1914 )
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1921 ---- look for Amlwch Anglesey
With Richard, Mary and daughter Gwen, Alice Mary having died.