Hi there,
Do you know what religion they were?
There are Roman Catholic church records available for the diocese of Donaghmore (Armagh). These date from 1837 for both baptismal and marriage records. You can find these at the Natioanl Library of Ireland, Pos. 5582, or the Public Records of Northern Ireland (PRONI), MIC.1D/33-34, or the Church of Latter Day Saints (LDS), film 0979709. If you have any difficulty, you could try writing to the parish priest for more assistance.
If they were Church of Ireland, you might be able to find earlier dates.
Civil registration records are available from the General Register Office (GRO). These start from 1864 however. You can access the website here: http://www.groireland.ie/research.htm
You could also try checking the land records called the Tithe Applotment Books (1823-38) or the later Griffith's Valuation (1848-64). Griffith's is freely available here: www.askaboutireland.com or here: www.failteromhat.com Failte Romhat has lots of other useful links you could try looking at. Tithe Applotment Books (1823-38). Microfilm copies of the books for all of Ireland are available at the National Archives of Ireland (NAI) http://www.nationalarchives.ie/genealogy1/genealogy-records/tithe-applotment-books-and-the-primary-griffith-valuation/ or the Church of Latter Day Saints (LDS).
The Tithe Applotment List will be useful to you, or at least interesting for you. These lists constitute the only nationwide survey for the period, and are valuable because the heaviest burden of the tithes to the Established Church, the Church of Ireland, fell on the poorest, for whom few other records survive.
The information in the Tithes is quite basic, typically consisting of townland name, landholder's name, area of land and tithes payable. Many Books also record the landlord's name and an assessment of the economic productivity of the land. the tax payable was based on the average price of wheat and oats over the seven years up to 1823, and was levied at a different rate depending on the quality of land.
For Parishes where the registers do not begin until after 1850, this information can be useful, as they are often the only surviving early records. They can provide valuable circumstantial evidence, especially where a holding passed from father to son in the period between the Tithe survey and Griffith's Valuation.
1796: Spinning Wheel Premium Entitlement Lists This was part of a government scheme to encourage the linen trade, free spinning wheels or looms were granted to individuals planting a certain area of land with flax.
The lists of those entitled to the awards, covering almost 60,000 individuals, were published in 1796, and record only the names of the individuals and the civil parish in which they lived. The majority, were in Ulster, but some names appear from every county except Dublin and Wicklow. A microfiche index to the lists is available in the National Archives, and in PRONI. There are 7,150 names for Co. Tyrone.
1625-27 Leet Court Rolls. Jurors and litigants in Armagh Manor. Includes Donaghmore. Seanchas Ardmhacha, Vol. 11, No. 9, 1957.
Please make sure you link anyone else in your family who is interested in their Irish heritage to our site - and indeed anyone else you know of Irish heritage.
Kind regards,
Sinead Cooney
Genealogist (Ireland XO)