Here is the marriage of a son of James Barkley, ropemaker:
https://www.ancestry.co.uk/interacti...0b0e5487c881b8
20 Sep 1869 St Peter, Liverpool, Edward Barkley, full age, bachelor, labourer, Watkinson St, father James Barkley, ropemaker, and Elizabeth Hanley, minor, spinster, Watkinson St, father William Hanley, carter. Witnesses Thomas North and Ellen Cornforth.
A possible brother to William. I realise this is a bit tenuous, but I haven't been able to find William on a census yet so am hoping this might help.