Hi, the only thing I could go off was the 1871 census at that time Michael Doyle the father was working in a place called Barrowford Lancashire with one of his two sons Michael George my gtgrandfather. They were in a lodging house, it stated that he came from Sligo County and the son was from Longton Staffordshire which I know to be correct because I have his birth certificate. There was another son Patrick J Doyle born in Liverpool he was the eldest. born in c:1848. Michael George was born Sept 1850. The mother was Emily Hurley from Ireland?? didn't say where in Ireland on the 1861 census in Cheshire. After that date neither Emily nor Patrick are seen again on a census. Emily may have died but I can't find her death and Patrick could have married.
The father Michael, ended his days at the Little sisters Home for the Poor and aged in Birkenhead. Michael George met and married Agnes Maguire my gtgrandmother. When and where I don't know. They lived in Accrington and eventually moved to Clayton le Moors Lancashire where I grew up.
Like I said the Maguires are a mystery too I never found them on a census since they lived in Hull where Agnes was born in July 1849. On Agnes' baptismal record it just said, Ireland. Tess. When the Doyles came to Liverpool he would be about 30yrs old and she would have been 23 yrs old.