William's parents were married in Kalgoorlie in 1919 (Marriage Registration 24/1919, East Coolgardie). William Spicer senior was born in 1871 in Meredith, Victoria. His wife was born in Donald, Victoria, on 14 April 1898. The couple's other children were Clarence born 1919, Kalgoorlie; Irene Joyce born 1921, Boulder; Stanley Joseph born 31 August 1923 at Kalgoorlie (Birth Registration 169/1923, East Coolgardie); Dorothy Doreen born 1926 in Kalgoorlie (Birth Registration 116/1926, East Coolgardie).
Little William is buried in Plot 50 of the Roman Catholic portion of the Kookynie Cemetery, with his father, who died 29 May 1926 and whose story also appears in this database.