Well, it's certainly not a sea shanty, even by the loosest definition of the term!  As I suspected from the words you gave, it seems to be a turn-of-the-century American commercial composition; there's a copy of sheet music at The Lester S. Levy Collection of Sheet Music,  with the following information:

"Strike Up the Band, Here Comes a Sailor".
Words by Andrew B. Sterling.  Music by Chas. B. Ward.
New York: Chas. B. Ward Music Publishing Co., 42 West 28th St., 1900

Malcolm