Hi cousin!  Anne/Nancy Connors and Patrick Sheahan are my 3rd great grandparents.  
Another family researcher and I believe that Anne's parents are John O'Connor (Connors) and Hanoria Quinlivan.  
The Sheehan's (or Sheahan) were from the townland of Tonlegee. 
 And we found Anne's family in a neighboring townland of Gortygeeheen.  
Which of their children do you descend from??  I am descended from their son Thomas Patrick Sheehan (b.1866).