Hi,
Because your target persons date is pre 1864, you will need to locate the parish church record for the event. Do you know what religious preference the family was? There were many different religious structures within Ireland.
If Presbyterian: http://www.presbyterianhistoryireland.com/index.php?id=39 should be able to help direct you to the access point for your person.
If Catholic: http://www.nli.ie/en/parish-register.aspx gives lists of the various parish registers and should be able to direct you on how to access the record.
If Church of Ireland: the site Irishtimes.com http://www.irishtimes.com/ancestor/browse/records/church/ireland/index.htm gives an excellent overview of where to locate records.
Good information on the type and location of records can be found at http://www.monaghantourism.com/people.aspx for County Monaghan.
This site might also be helpful to you http://www.ulsterancestry.com/ua-free_MarriageLicenceBonds.html and gives the complexity in overlap of different recording authorities. You do not say if he was married in Ireland or not, but the Wiggins name shows here. Just remember the locality parish is often times different from the church parish and in turn can be different from the diocese completely, what with changing recording structures and boundaries.
I have several direct ancestors listed at DAR & their counter SAR and this is an excellent way of ensuring future generations will have the genealogical data while honoring your ancestor. They are constantly expanding the organization chapters to include many areas outside the United States http://www.dar.org/natsociety/overseas.cfm and is an excellent resource for families seeking their ancestor.
Good Luck in your search!
