I have some Molony's in my tree but for me they are related to Michael Hickman's wife Margaret Shaughnessy, Her brother Francis married a Mary Molony and had children in the Sixmilebridge area before heading over the the USA (and I have contacted a descendent of them).

I am guessing these families and lines are all intertwined but it is a matter of untangling them and finding who belongs to who and finding someone who may have some more family history to help.