Hi, I saw their ship record on the "Mary Anne" 1840 names stated were William (parents Charlotte and Walter) and Margaret (parents Michael and Mary Cody)
This is Mount Falcon House, you will see a small window on the left of the door, same on the right, this was the kitchen. I had tea inther many times with my Grandmother.
The last Falkiner to live there was Elizabeth she sold the house 1920's to 1930's and went to Dublin. The family that bought it their sons are still living there.
Bushy Park house no longer there.
I don'tknow about the Church in Nenagh but most Falkiner's from Mount Falcon had their services in Ardcroney Church. Which was moved to Bunratty Castle some years ago.