M Frain in the Surname Forum asked if Bornacoola Church is still standing. I can confirm that it is still going strong; and the Parish Priest is a Father O'Brien.
There are a number of Frayne's buried in Fuerty cemetary as well. They are located on the right hand side, inside the front gates. May want to check to see if your line is connected to any of them. Enjoy your trip. - Nuala