Critchley Almond isn't named on my grandfather James Moran's birth certificate but I know he is the father because l have a bastardy record dated May 1880 ordering Critchley Almond to pay Ann Moran money each week towards my grandfather's welfare.
I don't think the Ann Moran who married John Lee in June 1881 is my great grandmother because her age doesn't fit, she has her age recorded as being 26 on the April 1881 census when she was living with my grandfather James Moran age 3 as lodgers on Friday St. in Blackburn, also on the Ann Moran & John Lee marriage the certificate is dated June 1881 this Ann Moran is recorded as being 25, also I don't think she would have given up the money being paid to her by Critchley 13 months after it had been awarded to her.
I also think there could have been a strong relationship between Critchley & Louisa Stansfield after my great grandmother Ann Moran & the birth of my grandfather in 1878 , the strange thing is that neither Critchley or Louisa can be found anywhere on the 1881 census but as you say they were living together with my grandfather & other children on Peel Lane in Heywood near Rochdale on the 1891 census & in Oswaldtwistle on the 1901 & 1911 censuses, he died in Padiham in 1916 & was buried in the Immanuel churchyard Oswaldtwistle.
My great grandmother Ann Moran appears to have vanished after her being recorded on the 1881 census with my grandfather, so I am hoping that someone on one of the ancestry search sites may have some knowledge about what happened to her after 1881 as I would like to find out more about her, one thought is that she may have returned to Ireland in the 1880s so the responsibility of looking after my grandfather was passed on to Critchley his father.