Delighted to help you out as you helped me recently
Alice Glenn was a Fine Gael* TD** whose reason for inclusion in this song was her opposition to selling contraceptives to the Irish people, except on prescription.
Was it she who said that contraceptives should be put on the long finger?
As far as I know she is still alive but not contributing to pubic life.
*Fine Gael (Fin-a Gael) - A right wing political party conceived without artificial intervention) from one side of the Irish Civil war (circa 1922).
**TD - The Irish equivalent of a British MP (Member of Parliament)
See also the reference to "Frenchies... to scuts in Fianna Fail".
The song is a social comment on issues peculiar to Irish society at the time the song was written.