Hi
Do you know much about their emigration? Dates, the reason why they left, etc.? Generally more information was given at the port of arrival rather than the port of departure. If you knew which city they arrived at (e.g. Liverpool), this could be a good place to find more information.
Valuations office in Dublin (http://www.valoff.ie) will have a record of the land registry from 1855 to modern times. This will assist in seeing what happened to any land the family may have owned (as it usually passed on to a relation).
Have you tried checking the land records called the Tithe Applotment Books (1823-38) or the later Griffith's Valuation (1848-64) for other relatives? The Tithe Applotment Books (1823-38): Microfilm copies of the books for all of Ireland are available at the National Archives of Ireland (NAI) http://www.nationalarchives.ie/genealogy1/genealogy-records/tithe-applotment-books-and-the-primary-griffith-valuation/ or the Church of Latter Day Saints (LDS). Griffith's is freely available here: www.askaboutireland.com or here: www.failteromhat.com Failte Romhat has lots of other useful links you could try looking at.
For some further assistance you might try contacting:
South Mayo Family Research,
Main Street,
Ballinrobe,
County Mayo.
Tel/Fax: +353 (0)94 9541214
Email: soumayo@iol.ie
Website: www.mayo.irish-roots.net
or the Mayo Genealogy group: http://www.mayo.ie/dnn/Blogs/Forums/tabid/92/aft/92/Default.aspx#.UKDeVsUxqIo
Also remember to post as much information as you can regarding the people you are researching. The more information you post, the more likely it is that one of our volunteers will be able to advise or assist you. Also include information concerning which sources you may have already used so others may further your search.
Please make sure you link anyone else in your family who is interested in their Irish heritage to our site - and indeed anyone else you know of Irish heritage.
Kind regards,
Genealogy Support
Ireland Reaching Out