Records and Information Pre 1850/ Pat Mulkeen, Bridget Barnicle, Brig Finn Austin Lyons

Hello,

I was hoping someone may have some suggestions or the ability to provide me with information pertaining to my tree. My tree is uploaded on Ancestry.com , unfortunately I am at the point where I believe that I can't confidently move forward because there is no supporting evidence to suggest otherwise. The Thru Line Suggestions I don't believe are correct.  Since ThruLines are based upon others trees , an incorrect entry could give a false suggestion. Many people add information with out any supporting evidence. I don't. 
 My questions are,

Where would one find information for late 1700's to 1840

I have uploaded my dna to GEDMatch, searched Civil and Church records Via Family Search, Ancestry, Griffith's and Irish GI. 

The people I am seeking information are.

Pat Mulkeen 1782

Brigid/Bridget Barnicle married Mulkeen

Brig Finn married Lyons

Austin Lyons all of Ballyhaunis, all with birthdays sometime between 1780-1810.I need to confirm if they are indeed spouses and who their children were.

Thank you!