'Very Reverend' implies some degree of seniority. He may have had some extra responsibility or may have been a priest for a long time and received a courtesy title for long service.
Catholic directories, published frequently, list parishes in each diocese and their clergy. There is usually an alphabetical list of clergy in the directory. The directories also contain a list of clergy who died since the previous edition.
What year was it?
Nothing springs to mind for 'U.F.' If it is an abbreviation for the order to which the priest belonged, a history of the parish might throw some light. Some parishes were under the care of a particular religious order for a while.