John Wilfred Baggaley
Principal
England and Wales Census, 1911
Census 1911
Sheffield, Yorkshire, England, United Kingdom
Birth 1900
Sheffield, Yorkshire, England, United Kingdom
Parents John Baggaley, Annie Elizabeth Baggaley
Siblings William Reginald Baggaley, Clifford Harry Baggaley, Geoffrey Baggaley
Principal
England and Wales Birth Registration Index, 1837-2008
Birth Registration 1929
Ecclesall Bierlow, Yorkshire, England, United Kingdom
Parents Smith, Dorothy Baggaley
Principal
England and Wales Birth Registration Index, 1837-2008
Birth Registration 1931
Sheffield, Yorkshire, England, United Kingdom
https://www.freebmd.org.uk/ has three Baggaley births, mother maiden name Smith:
Geoffrey Ecclesall Bierlow 1929
Dorothy Sheffield 1931
Joan Sheffield 1938.
Possibly members of your target family.
Doris is on the 1939 register. With her is son Geoffrey b 1929 and there are no redacted entries. There is another Baggaley Smith marriage in the area in the 1930s so presumably the other 2 belong to them.
Dave
https://probatesearch.service.gov.uk/ has some information about the 1949 probate file of John Wilfred Baggaley of 4 Khartoum Road. Widow's name is Doris Sylvia.