LARBOARD (lee board) WATCH is not a shanty.

1. At dreary midnight's cheerless hour,
Deserted e'en by Cynthia's beam,
When tempests beat and torrents pour,
And, twinkling stars no longer gleam,
The wearied sailor, spent with toil,
Clings firmly to the weather shrouds,
And, still the lengthened hour to 'guile, (2x)
Sings as he views the gathering clouds, (2x)
Larboard watch, ahoy! Larboard watch, ahoy!

But, who can speak the joy he feels,
While o'er the foam his vessel reels,
And his tired eyelids slumbering fall,
He rouses at the welcome call
Of Larboard watch, ahoy! Larboard watch!
Larboard watch! Larboard watch, ahoy!

2 With anxious care he eyes each wave,
That, swelling threatens to overwhelm,
And, his storm-beaten barque to save,
Directs with skill the faithful helm;
With hope out rings his cheering song
'Mid storms that bellow, loud and hoarse
With joy, he heaves the reeling log, (2x)
And marks the leeway and the course, (2x)
Larboard watch, ahoy! Larboard watch, ahoy!

Repeat as before

This was surly written by a landsman. Heaving the log had nothing to do with leeway, only the speed of the vessel.
Besides, the lyrics are much too flowery.

For the info of anyone who might care, the Starboard, refers to the steer board off the right rear side of the vessel (before fixed rudders) and, the lee board trailed from the left side.