These sheet-music examples may help explain the mysterious publication I reported earlier, from John Snow & Co.:

In The Levy Collection:

"Songs from Edward Harrigan's Comic Play Entitled: 'The Mulligan Guards' Surprise.' "
WHIST! THE BOGIE MAN.
Words by Edward Harrigan; music by David Braham.
New York: Wm. A. Pond & Co., ©1880.

In The National Library of Australia:

"Performed in the Pantomine [sic] of Dick Whittington, at Her Majesty's Theatre"
WHIST! THE BOGIE MAN.
Words by Edward Harrigan; music by David Braham.
Sydney : W.H. Paling & Co., [189-?]

In both cases, the lyrics are very nearly the same as those I posted earlier.