Hi Cynthia,
Thank you very much for your message. You are very lucky to have a record that that is so early in date! If you have baptismal records then you probably know what parish they were baptised in? If you do it is a good idea to share this here. The more information you post, the more likely it is that one of our volunteers will be able to advise or assist you.
In the meantime, here are some websites that you may find useful in your research:
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
Irish Genealogy Tool kit: http://www.irish-genealogy-toolkit.com/
Genealogy Links: http://www.genealogylinks.net/uk/ireland/armagh/index.html
Kind regards,
Genealogy Support