Welcome to Ireland Reaching Out!
Here is a link to the online Irish phone book http://www.eircomphonebook.ie/# I would search for Murphys in County Clare (make sure you use the Residential Tab). You will get 170 entires. Some are near Ballynacally which is in Kilchreest parish. You may want to drop them a line or call them to see if there is a connection. Murphy is so common you may not have any success.