Dear Alexandra
Welcome to Ireland Reaching Out and apologies for the delay in replying to your message.
As you can see from the link below, Cappagh is a Civil Parish in Co. Tyrone:
http://www.irishtimes.com/ancestor/fuses/townlands/index.cfm?fuseaction=TownlandsInCivil&civilparishid=2334&civilparish=Cappagh&citycounty=Tyrone
Church of Ireland records for Cappagh begin in 1758 while records for the corresponding Roman Catholic Parish of Cappagh (Killyclogher) begin in 1843. As this is the case, you will not find a baptism record for Susannah (assuming she was actually born in this parish). You could check the sites below, in case you are incorrect about her place of birth and this search would close an avenue for you.
There are some places where you can search online, however these websites do not have complete collections and many do not cover the period after 1900:
www.familysearch.org has a huge database of genealogical records including some church records for Ireland.
www.rootsireland.ie have a large collection of Irish Church records, however you have to pay to use this site.
Some other websites that may be helpful are:
The National Archives of Ireland: http://www.nationalarchives.ie/genealogy1/genealogy-records/introduction/ - you can search the 1901/1911 Census on the National Archives page too
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/
As an aside, Ancestry.com is holding a number of ?webinars? about Irish records on their site if you are interested.
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.
Best of luck with your search
Clare Doyle
Genealogy Support