It look's like Henry Hall's title and part of the refrain was pilfered from this older song. The sheet music can be viewed in the Levy Collection:


Selections from the Operatic Extravaganza "Sinbad"
As produced by David Henderson's American Extravaganza Co.
THE BOGIE MAN
Words by Harry B. Smith; music by W. H. Batchelor
Cincinnati: John Church Co., ©1891.

1. Come, all my little cannibals, and listen unto me:
A creature very strange has come a-sailing o'er the sea:
A white man you have never seen since first your lives began.
No wonder when you see him you will call him Bogie man.

CHORUS: Hush, hush, hush, here comes the Bogie man.
You'd best lay low; you stand no show; he'll catch you if he can.
Hush, hush, hush, before his face you scan.
{Look out/Yes, run} you little cannibals; here comes the Bogie man.

2. He has a gun to kill you all and make you quake with fear.
He has a fiery liquor too that makes you feel so queer.
He wears the oddest clothes, my boys, that ever you did scan.
You'll all be frightened most to death before the Bogie man.