DRINK THE NIGHT AWAY is sung by Gaelic Storm on two albums: "Herding Cats" (1999), and Special Reserve, (2003). It was written by two members of Gaelic Storm: Steve Twigger and Stephen Wehmeyer. I transcribed the following excerpt from a sound sample at Barnes & Noble:

... claim on a foreign shore
With the screws of me fiddle (?) an' a half a shillin'.
Hey, hey, hey, laddie, hey,
Way, hey, hey, we'll drink the night away.

... place, I know it's true,
Where the dolphins play and it's always sunny.
The girls are brown and the ocean blue.
There's work to do but you make more money.
Hey, hey, ...

I couldn't find any more lyrics than that, but maybe someone else will recognize it.