Thank On my mother's side, I can go back a little bit, but where I run into problems is that the family changed their last name from Murphy to Murray when the moved to England. They originally came from Ireland in the late 1800's and getting a job as an Irishman was impossible. I hope to be able to get some information though.
You are welcome. Thats very common. There was a huge stigma being Irish in England , my dads uncle did the same. He changed his name from Michael to Brian. It really confused us as children , as my dad would talk about his Uncle Mike who lived in London, yet when we went to visit, everyone in London called him Brian!
You should be able to find info about your family , its only around 1920 to around 1924 that is hard, as the fire in the courthouse was due to the civil war in Ireland. For example, my mum has found many of our relatives on the 1911 and 1901 census and there are a huge amount of land records, estate records, tenant records surviving, as well as Church records of births, marriages and deaths.
You wont be able to find ship passenger records for Irish people moving to England before 1920, as Ireland was a colony of England, under British rule, and technically part of Britain, so going from Dublin to London was just seen as moving within the same country and no official documentation was needed. There were no passenger ferry boats, people just took the Mail Boat or bought passage on a commercial trading ship
If you know where they took the boat, ie Dublin, Cork or Belfast, then you could work backwards and find a general area they might have come from. Before 1900 Irish people did not generally travel or move around the country much, the only transport was mainly horse and cart, so people would go to their nearest port. The Irish in Scotland generally came from the north part of Ireland, the Irish in Liverpool generally came from the east part of Ireland. Those who went from Cork generally either went to London and the south east of England or went on to America through Southhampton and Plymouth