I hope this gets to you. I am heartened by the fact that, compared to the other posts in this thread, yours is only 18 months old. I am a descendent of Elizabeth Wiley and William Richardson (they are my ggg-grandparents), and have some information on this line after they settled in New Brunswick, Canada. Your note on Ancestry.com provided new information on Eliza (I did not know where she cam from). Do you have any more information on the Wileys, Allens, or Richardsons in Armagh?
There seems to have been a prominent Richardson family in Richhill, but I don't know if there is a connection there to my William (if so, I wonder why Eliza's marriage to him was unacceptable to her family?). Any additional information would be much appreciated! And I can share the line of descent from Eliza and William to me.