MoiraWendy, that just fired a random synapse that brought up a song fragment from some versions of "MacNamara's Band." It's a bit of patter that lists a series of stereotypic Irish names. Googling to find it, I learn that it may really be from a different song, "Dear Old Donegal."
Meet ...
Branigan, Flanagan, Milligan, Gilligan,
Duffy, McGuffy, Malachy, Mahone
Rafferty, Lafferty, Donnelly, Connelly,
Dooley, O'Hooley, Muldoney, Malone!
Madigan, Cadigan, Lanigan, Flanigan
Fagin, O'Hagin, O'Hoolihan, Flynn
Shanihan, Manihan, Fogarty, Hogarty,
Kelly, O'Kelly, McGuinness, McGuinn.