Had a further look at next door Bradleys, Robert and Eliza appear to have mother Ann ch at St Peters Liverpool , can't find John aged 26 with either Ann or Martha as mother. Found on free BMD marriage of William Bradley to Ann Coleman Dec Qtr 1851, Liverpool ref 163.So no proof that William Brdaley 60 next door is Ann Iniff's father , could not find Annie Iniff's birth with mother Ann
Cheers
David