Thanks, GUEST, for bringing this song to my attention.
I had fun trying to reproduce the layout of the title page, as much as my knowledge of HTML will allow.

From The Lester S. Levy Collection of Sheet Music:

CAMP SONG
WHY, SOLDIERS, WHY SHOULD WE BE MELANCHOLY, BOYS?,
FOR
ONE, TWO, THREE, OR FOUR VOICES
AND
An ad libitum accompaniment
OF A
MILITARY POLONAISE
for the
Piano Forte
The words attributed to
GEN^L WOLFE.
And sung by him, to an old air, on the night
before his death at Quebec.
THE MUSIC BY
S. D. S.
[1861]

Why, soldiers, why should we be melancholy, boys?
Why, soldiers, why? whose business 'tis to die!
Why, soldiers, why should we be melancholy, boys?
Why, soldiers, why? whose business 'tis to die!

Should next campaign send us to HIM who made us, boys!
We're free from pain. We're free from pain.
Should we remain, a bottle and kind landlady
Cure all again, cure all again!

Then why, soldiers, why should we be melancholy, boys?
Why, soldiers, why? whose business 'tis to die!
Why, soldiers, why should we be melancholy, boys?
Why, soldiers, why? whose business 'tis to die!

Why, soldiers, why should we be melancholy, boys?
Why, soldiers, why? whose business 'tis to die!
Why, soldiers, why should we be melancholy, boys?
Why, soldiers, why? whose business 'tis to die!