I gather there are many songs that go by the name of Shamrock Shore, or Paddy's Green Shamrock Shore. I may have missed it, but we don't seem to have the one Paul Brady sings, and it seems no one has mentioned it in this thread. Apologies if I've missed it. It's here, and the first stanza goes,

From Derry quay we sailed away
On the 23rd of May
We were taken on board by a pleasant crew
Bound for Americay
Fresh water there we did take on
Five thousand gallons or more
In case we'd run short going to New York
Far away from the Shamrock shore.

Same date as in Don't Buy the Liverwurst!