Passenger ship Route New York to Liverpool 1800s

[PrestonMc]

Hi I`ve recently seen a ship list with one of my namesakes listed, it says Pat.k McAiney arriving in Liverpool from New York in 1896 age 52 so b1844 ish?.
Whilst I`ve no trace of this particular person I was delighted to see the name as I`ve hit a brick wall trying to trace "my" Patrick McAiney b1839 or any McAiney in Ireland for that matter.

My main questions though are did passengers from Ireland to the UK get picked up en route from New York to Liverpool or was there a separate Ireland to Liverpool route then? maybe he did travel from New York.
Also, a long shot I know, but if he did board in Ireland are boarding lists available on a site somewhere? 

Thanks Steve

[KGarrad]

There were many boats and ships providing travel between Ireland and England.

But, as these were in essence ferries internal to the United Kingdom, no passenger lists were kept!

[PrestonMc]

There were many boats and ships providing travel between Ireland and England.

But, as these were in essence ferries internal to the United Kingdom, no passenger lists were kept!

Thanks,
With his name being on the list then, would that suggest he probably did travel from New York?

[KGarrad]

Port of Departure is usually on Incoming Passenger Lists

In your case it says New York.
Also says he is a carpenter.

[PrestonMc]

Thanks again