Not a sea song, but from the same book:

From Snarleyyow: or, The Dog Fiend. An Historical Novel, Volume 2 by Frederick Marryat (Philadelphia: E. L. Carey and A. Hart, 1837), page 11:

1. Lost, stolen, or stray'd,
The heart of a young maid;
Whoever the same shall find,
And prove so very kind,
To yield it on desire,
They shall rewarded be,
And that most handsomely,
With kisses one, two, three.
    Cupid is the crier.
    Ring-a-ding, a-ding,
    Cupid is the crier.

2. O yes! O yes! O yes!
Here is a pretty mess,
A maiden's heart is gone,
And she is left forlorn,
And panting with desire;
Whoever shall bring it me,
They shall rewarded be
With kisses one, two, three.
    Cupid is the crier.
    Ring-a-ding, a-ding,
    Cupid is the crier.

3. 'Twas lost on Sunday eve,
Or taken without leave,
A virgin's heart so pure,
She can't the loss endure,
And surely will expire;
Pity her misery.
Rewarded you shall be,
With kisses one, two, three.
    Cupid is the crier,
    Ring-a-ding, a-ding,
    Cupid is the crier.

4. The maiden sought around,
It was not to be found,
She search'd each nook and dell,
Haunts she loved so well,
All anxious with desire;
The wind blew ope his vest,
When, lo! the toy in quest,
She found within the breast
    Of Cupid, the false crier.
    Ring-a-ding, a-ding-a-ding,
    Cupid the false crier.