The sheet music for "My Long Tail Blue" (Click here) at the Levy Collection (only its cover is shown) is:

Title: My Long Tail Blue.
Composer, Lyricist, Arranger: na
Publication: New York: J.L. Hewitt & Co., 239 Broadway, n.d..
Form of Composition: strophic with chorus
Instrumentation: piano and voice
First Line: I've come to town to see you all, I ask you how d'ye do?
First Line of Chorus: O! for the long tail blue. Oh! for the long tail blue

American Memory has a song sheet (Click here). The first stanza and chorus are:

LONG TAIL BLUE.
(Sold wholesale and retail, By L. Deming, No. 61 Hanover Street, Boston. [n. d.])

I'VE just drop'd in to see you all,
And ax you how you do;
I'll sing you a song, it's not very long,
It's about my long tail blue.

CHORUS.
Just look at my long tail blue,
O, how do you like my blue,
I'll sing you a song, it's not very long,
It's about my long tail blue.

~Masato