The lyrics that harpgirl posted exactly correspond to the lyrics in the sheet music a The Lester S. Levy Collection of Sheet Music, described thus:

MAY IRWIN'S "BULLY" SONG
As sung with great success in the "Widow Jones"
Words and music by Charles E. Trevathan
Boston, New York, Chicago: White-Smith Publishing Co., 1896.

In the upper left corner of the sheet-music cover, there is this apparently hand-written note:

This is the only
correct publication,
of the "Bully Song"
as sung by me
in "The Widow Jones"
[signed] May Irwin