Trawling through the names and finally found William (Bundle) and Amy! Their address was White Hill Down, Effingham, Surrey. The 5 children were Levi (c1892), Rachel (c1897), Unity (c1899) noted as a son but others have this name for girls, Packey (c1907) - others note her as Pashey, Amey (c1908). There are no places of birth given for any of the family.
Levi might be the child registered Apr qtr 1893 Croydon
Rachel - no reg found for Croydon - might be elsewhere
Unity - no reg found
Packey/Pashey - not found
Amey - name far too common to determine
I need to verify some details beofre continuing:
You believe that Elizabeth COOPER (wife of Derby SMITH) was the daughter of William and Amy?
I haven't been able to find any marriage for William and Amy (might not have married in the legal sense) so how did you determine Amy's surname of DEACON?
The Elizabeth COOPER that I found that is supposed to have married Derby SMITH then had daughter Minty around 1911 must have been born around 1891. Does that sound correct?