Thank you.
I think I must have gone wrong somewhere
I know Elizabeth Ann Rigby definitely married Charles Edward Hessey in 1872 at St Nicholas's Church. On their cert. it states 'Josiah' as the Father.
I then made a link to the 1871 Census (which is so faded to read it's not true!) which records a JOSHUA Hessey (who I assumed was Josiah) living with Ann and with daughter Elizabeth... But maybe I was wrong to make that assumption of Joshua/Josiah being one and the same?
I was especially drawn to this Census as it also has an 'Ann' aged 1 living here. I know from family hearsay that Elizabeth had a daughter (Ann) out of wedlock and that it was passed off as a daughter of Elizabeth's mother therefore...the dates of all of that info tally. Maybe Elizabeth's Mother Ann wasn't a Molloy?
I just can't find a Rigby with a MMN Molloy (or similar) anywhere?!! In fact I can't find any children in and around the area with MMN Molloy which is interesting as I came across an 1851 Census in Oliver Street of an Ann Molloy unmarried and a daughter Elizabeth Molloy aged 1?