Here's one from the Levy Sheet Music Collection. Most likely, this is the original, since it was published in 1885.

Get Up, Jack, John, Sit Down!
Words by Edward Harrigan
Music by Dave Braham
(as sung in Edward Harrigan's local drama, Old Lavender)

Oh, ships will come and ships will go as long as waves do roll;
Each sailor lad, likewise his dad, will love the flowing bowl.
Afloat, ashore, they do adore a lass that's plump and roun';
When the money's gone 'tis the same old song,
Get up, Jack, John, sit down.

CHORUS:
Heigh, laddie, Ho, laddie. Swing the capstan 'roun';
When the money's gone, 'tis the same old song,
Get up, Jack, John, sit down.

An old sheath-kinfe and souwester are staunch old friends at night;
A glass o' grog, in rain or fog, will steer a sailor right.
From old Brazil to Bunker Hill we, scatter dollars roun';
When the money's gone 'tis the same old song,
Get up, Jack, John, sit down.
CHORUS

Go take a cruise on men o' war to China or Japan;
In Asia there the maidens fair, all love a sailor man;
While Tom and Joe palaver oh, and buy the girls a gown;
When the money's gone 'tis the same old song,
Get up, Jack, John, sit down.
CHORUS

When Jack's ashore, oh, then he steers to some old boarding house,
He's welcomed in with rum and gin, and fed on pork and souse;
He'll spend and lend, and ne'er offend, and lay drunk on the groun';
When the money's gone 'tis the same old song,
Get up, Jack, John, sit down
CHORUS

When Jack is old and weather beat, too weak to roust about,
In some rumshop they let him stop, at eight bells he's turned out;
He cries, he cries up to the skies, I'll soon be homeward bound;
For my money's gone 'tis the same old song,
Get up, Jack, John, sit down.
CHORUS

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Click to play

(tune from the 1885 sheet music)

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Here's the bibliographic information from Levy:

Title: Songs in Harrigan's Local Drama, "Old Lavender." Get Up Jack, John, Sit Down.
Composer, Lyricist, Arranger: Words by Edward Harrigan. Music by Dave Braham.
Dave Braham Publication: New York: Wm. A. Pond & Co., 25 Union Square, (Broadway, bet. 15th and 16th Sts.), 1885.
Form of Composition: strophic with chorus
Instrumentation: piano and voice
First Line: Oh, ships will come and ships will go as long as waves do roll
First Line of Chorus: Heigh laddie, Ho, laddie, swing the capstan 'roun'
Performer: As Sung in Edward Harrigan's Local Drama, "Old Lavender."
Advertisement: ads on back cover for Wm. A. Pond & Co. stock
Plate Number: 11577-3
Subject: Seamen
Subject: Courtship & love
Subject: Eating & drinking
Subject: Money
Call No.: Box: 072 Item: 028

There's a better-quality copy of the sheet music at the American Memory Collection of the Library of Congress.