Those nights in Sixmilebridge when the songs and music flowed
And when it came to closing time sure the lights were turned down low
And the Sergeant from Kilkishen he would buy us all one more
And we never left that pub before the clock was striking four.

Lahinch and Ennistymon, Liscannor and Kilkee
But best of all was Miltown when the music flowed so free
Willie Clancy and the County Clare I'm ever in your debt
For the sights and sounds of yesterday are shining memories yet.

My Heart's Tonight in Ireland by Andy Irvine

Perhaps they played Sergeant Early's Dream (a reel) or Sergeant Early's Jig, two tunes named for Chicago Police Sergeant James Early.