Hi,
Thank you for your message. You have obviously have done a lot of wotk on your family history already!
With regards to Andrew, have you tried searching for him in church records? Most Catholic records are held locally. One website which may be of help to you is the irishtimes. Here they give an overview of what records are available in specific parishes. For Belleek/Carn parish follow this link:
http://www.irishtimes.com/ancestor/fuses/rcparishmaps/index.cfm?fuseaction=showidrecords&CityCounty=Fermanagh&parish=Carn&churchid=290
As you can see from this page the baptism records for Belleek don't start until c. 1850, which is obviously after Andrew was born. It may be an idea to check the records of neighbouring parishes. New parishes were created in the 19th century so sometimes these start dates can be misleading. Follow this link to see a map of parishes in Fermanagh. Simply click on the parish to see what records are available:
http://www.irishtimes.com/ancestor/fuses/rcparishmaps/index.cfm?fuseaction=showidrecords&CityCounty=Fermanagh&parish=Carn&churchid=290
You may be able to find his marriage record in Belleek parish. In addition to date, names of couple and names of witnesses, marriage records also sometimes contain residences, occupations and father's names.
For Church of Ireland records check: http://ireland.anglican.org/about/42 and http://www.nationalarchives.ie/
Have you heard of the Tithe Applotment Books? This was an earlier land survey that was carried out in Ireland (1823-1838) You can search this here:
http://titheapplotmentbooks.nationalarchives.ie/search/tab/home.jsp
Another website which may be helpful to you is genealogylinks.net, where they give you a list of genelaogy links specific to each county. For Fermanagh follow this link:
http://www.genealogylinks.net/uk/ireland/fermanagh/index.html
Some other useful websites 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
Alternatively, you could try contacting the Irish World Heritage Centre for assistance-however a fee may apply.
Here are their contact details:
Irish World Heritage Centre,
51 Dungannon Road,
Coalisland,
Co. Tyrone B71 4HP
Phone: +44 28 8774 6065 email: info@irish-world.com
I hope that this helps.
Kind regards,
Genealogy Support