We have a Michael and Patrick in our family from County Limerick, however, they settled in Little Meadows, Pennsylvania about that time period. Our Patrick had a son, William Ryan O'Shaughnessy who had a son he named Patrick L. born in Omaha, NE in 1905. William's wife Anna Marie, died 3 weeks after Patrick was born. About 1910/11 William's 2nd wife turned Patrick over to an orphanage in Omaha, NE. We've been told that Patrick started using the initial "J" in front of Patrick to honor his uncle John who took him out of the orphanage and raised him. Does any of this fit in with your family?