When do you have them in the North East?
For instance I have some who came in the late 1880s, by looking at the birthplaces given on census returns I can see 'roughly' when they arrived (last one born in Ireland, first one to be born in England)
You are vey unlikely to find passenger lists as they were going from one part of the UK to another so those records either weren't kept or haven't survived.
Irish census returns 1901 and 1911 are online.
The National Library of Ireland have recently released images of RC parish records for free online, varies from county to county, but generally up to early 1880s .
http://registers.nli.iehttp://www.irishgenealogy.ie/en/ have civil index records for free and 'some' counties parish records are searchable.
For more definitive advice I'd suggest asking about specifics in the Ireland boards.
Good luck with it, slowly buy surely more and more Irish records are becoming available, but (in my opinion) its not easy or straightforward.
Boo