Thank you Annette, You have given me a couple more areas to try. I too had made a guess that the Parish of Shrule, may be the area my ggggrandfather is originally from. I had examined the Tithe Applotment record also, but there were so many....I am supposed to be looking for a "William" but that may not be correct. I am just waiting on some family Bible info, from the USA that we stumbled upon........we had one Bible, but not the generation before it, nor knew one even existed till a short while ago.
You mentioned Irish History Foundation, and Parish Armagh has birth records RC from 1796-1900 marriages 1802-1810 etc.
Where can I access them? We know that Henry, Williams son, was born Feb 1st 1797.