Yes I should have perhaps said something like it has its inspiration in older ballads. Later users of the theme, not necessarily whalers, have other bits related to BSTD.

Here's 'The Prince of Wales'

You pretty girls of Parkgate and Chester now attend,
And give ear unto these lines which for you I have penn'd.

We like true hearts undaunted, a voyage intend to go,
All on board the Prince of Wales, captain Briscoe you know.

Therefore be cheerful, my lads, let your hearts never fail,
When the brave Prince of Wales she on the sea doth sail.

First to London we did go, loaded with lead and cheese,
Loaded again for Chester, for Chester you do see.

When to Chester we do come, we'll drink a glass of wine,
You may drink to your sweetheart, and I'll drink to mine.

Come all ye pretty maidens, that live at home at ease,
Don't forget the Prince of Wales while the lads on the seas.

Don't you like Liverpool girls, out of sight out of mind,
For if ever I return I'll be constant and kind.

Says Gilles to a pretty girl, at Parkgate I lie on shore
Says Wills to a Liverpool girl, 'tis her I adore.

So be cheerful, my lads, let your hearts never fail,
Whilst the brave Prince of Wales is plowing with her sail.

Printed at Falkirk, late 18thc garland.
Obviously this didn't originate in Falkirk. Possibly printed first in Chester.