Louisag,
I have some information on this McInerney family. Your ggrandmother was a sister to my wife's ggrandmother Mary Rose McInerney. She married a John McDonell and their daughter Rosemary McDonell went on to marry James O'Riordan her grandfather.
If you are interested in further information I can send you a family tree. We are trying to establish a link with an O'Brien family from Lough Gur as this family goes back to the 16th century. Your ggrandmother was Catherine O'Brien (married to Patrick McInerney) and we believe her father was one of these O'Briens from Lough Gur. If you google "the farm by Lough Gur " you will find out more about the family.
Would also appreciate any information which you ay have. My mother in law who is 89 knew about a Major Gummer !