As Aghadowey has pointed out, unless you know your family's religion and parish or townland where they lived, then you are in the proverbial needle and haystack situation. My Walker ancestors, who are believed to have fled to Ireland about 1685 as Scottish Covenanter refugees, were to be found all over south west County Antrim, particularly near to the border with north east Armagh, where our Boyles lived. Our Boyle family were Roman Catholic, but had intermarried with Presbyterian families at various times.
Also, despite the fact that I had precise knowledge of my mother's McGonagle family in Glenmornan, County Tyrone, I had a devil of a job identifying which branch or sept of the McGonagles were my direct line. Fortunately, I found most of them on various websites, but it took many months of sorting out who was who. Problem is that in the era subject of your research each family tended to only use a handful of very common first names, with generation after generation having identical names. I also had the additional problem caused by the multitude of "English" Walkers in Ulster.
After about 18 months of research I still couldn't tie any of my Walker family down to any Townland whatsoever, and to preserve my sanity, I simply gave up. Anything before 1864 simply cannot be done without considerable further information.
Good luck with your quest, and I presume you already know that the first name you have referred to as "Neal" is usually spelt "Neil" in Scotland.
