Ian, Afer many months of searching, I've managed to trace some more of my Mogan ancestors. Grandfather was born 15/5/1893, Liverpool. his parents are Michael Mogan and Mary Egan, m.21/9/1878, St.Josephs RC Church, Grosvenor Street. Michael (snr) was born c.1850, Ireland and his father is named as John Mogan (deceased). Is this the same John Mogan or is your ancestor a brother of Michael snr?
PS My Mogan's are on the 1901 Census as Mogan, but the 1881 Census as Morgan. They lived in a number of place around Islington in Liverpool, Comus Street, Spring Place, Hare Court.