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It does seem that there are two Walter HANCOCKs.
There is this one, whose 1911 details are already given by rdtaylor (Becky)
FreeReg has a birth
Walter HANCOCK, registered W. Derby (Lancashire), Vol 8b, p581
Baptism, Christ Church Kensington, Liverpool
July 30, 1905
Walter HANCOCK, born 18 June 1905
Parents: Ernest Edward and Edith HANCOCK, of 44 Ruthin St; his occ: carter
This Walter had siblings Ernest, John, Margaret, Elsie and Edna.
I do not think he is connected with Walter the boxer.
Judith