Hi Anna,
Thank you very much for your message.
Unfortunately, it may be difficult to find information without a more specific place of origin. Most Irish record sources- church records, land records, census records- are based on specific locations. Until you know a specific location within Ireland, preferably a parish or placename, it may be difficult to do anything more with these records.
Do you have any documentation pertaining to the family that mentions any place names in Tyrone at all? This can include wills, marriage/death records,census records, letters, diary entries etc.
Have you tried searching for the family at www.familysearch.org ?
It may be an idea to contact the Irish World Heritage Centre in Tyrone for some assistance, however a fee may apply. Here is their email address: info@irish-world.com
Also, here is a link showing the church records that they have available-hopefully they may have something relating to your family:
http://tyrone.rootsireland.ie/generic.php?filename=sources.tpl&selectedMenu=sources
Some other websites that you may find useful are:
The National Archives of Ireland http://www.nationalarchives.ie/genealogy1/genealogy-records/introduction/
The National Library of Ireland http://www.nli.ie/en/family-history-introduction.aspx
The National Archives UK ? genealogy search: http://www.nationalarchives.gov.uk/records/looking-for-person/
The Public Records Office of Northern Ireland http://www.proni.gov.uk/index/family_history.htm
Irish Times: http://www.irishtimes.com/ancestor/index.htm
Genealogy Links: http://www.genealogylinks.net/uk/ireland/tyrone/index.html
Tyrone: http://www.cotyroneireland.com/
Remember to post any new information that you find here. 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.
Kind regards,
Genealogy Support