There was a book published in Australia in 1992 called "The Bride Ships's: Experiences of Immigrants Arriving in Western Australia 1849-1889." You should be able to find a copy in your local library or through interlibrary loan.
There'd probably be more information about it in Australia since it's part of Australian history than in Ireland. I haven't as yet come across any relevant information here.
Maybe your local library reference librarian could be of some help about searching for information about it in Australian historical records.