WorldCat.org shows that several libraries have the sheet music—but I couldn't find any that were viewable online.


TORPEDO JIM
Words by Roger Lewis; music by Jimmie V. Monaco.
New York: L. Feist, ©1917.
Series: Songs sung by the soldiers and sailors

First line of text: Come ev'rybody and I'll tell you a tale.
First line of chorus: Torpedo Jim, with an eye like an eagle.

[You can find a midi file at http://ingeb.org/songs/torpedoj.html. I suspect the above lyrics were copied from there as well.]