Good evening, Gerard and welcome to Rootschat.
I am sorry to disappoint you , but as far as I am aware, there is no recent connection between your Gleesons and mine.
I can go forward from the marriage of my grandparents, James Gleeson and Ellen Gleeson (nee Enright) who had 5 children. Johanna, Margaret, John, Eugene and Mary (aka May). All these births took place at Boolavoorde, Fedamore. Johanna had 2 children who were born in England and John had 2 from his first marriage and 5 from his second. The grandparents together with Margaret and Eugene are buried in Fedamore graveyard. Mary is buried in Broadford, Co Clare.
However if you are able to establish an earlier connection, I would be very interested as I am unable to trace my grandparents' births or any other earlier information.