Steve:
I had to go back to your prior two messages from late May to try to piece together your family info. Messages are here for other volunteers.
https://irelandxo.com/ireland-xo/message-board/francis-j-ralleigh
https://irelandxo.com/ireland-xo/message-board/denis-ralleigh
Ellen Flannery married Denis Ralleigh in 1877 and the civil marriage record shows that her father was Francis Flannery.
https://civilrecords.irishgenealogy.ie/churchrecords/images/marriage_re…
Does the obituary from 1913 show the first name of the deceased.?There are not many names which start with an F and if his name was Francis, he could not have been an uncle to Ellen Flannery if her father was Francis. Also, how old was Rev. F. Flannery? Maybe he was a first cousin. Your best free sources for research would be found on irishgenealogy.ie The Church Tab will provide church records for Co. Cork and the Civil record Tab will provide civil reocrds starting 1864.
Roger McDonnell