William Pint & Felicia Dale (Seattle, WA) recorded a song on their "Port of Dreams" CD, which they call "Heave, Boys, Away." Here are the lyrics they use:

HEAVE, BOYS, AWAY

Walk her 'round for we're rollin' homeward
    Heave me boys together
The bully old ship is a lyin' windward
    Heave me boys away
We're taut and trim and the wind is blowin'
Snug up aloft and the ship she's goin
    Heave her, and we'll break her,
    For the old ship's a-rollin home

Oh sing and heave and heave and sing
    Heave me boys together
Oh heave and make the capstan spring
It's blow you winds to London town-o
    Heave me boys away
Where the girls are dressed so fine-o
    Heave her, and we'll break her,
    For the old ship's a-rollin' home

Oh the sail's trimmed taut and the ship she's goin'
    Heave me boys together
Oh move her around for the winds are blowin'
    Heave me boys away
So goodbye gals were bound to leave you
Goodbye sally and goodbye Lulu
    Heave her, and we'll break her,
    For the old ship's a-rollin home