I found these recordings on the Internet:
Leslie Sarony (at YouTube.)
The University Six (at the Internet Archive)
Paul Whiteman and His Orchestra (at RedHotJazz.com)
John Hamp's Kentucky Serenaders (at RedHotJazz.com)
The University Six (at RedHotJazz.com).
Leslie Sarony was the only one who sang verse 2. This is my transcription.

C-O-N-S-T-A-N-T-I-N-O-P-L-E
Words and music by Harry Carlton, 1928
As sung by Leslie Sarony

1. Mister Noel Knowall was a teacher in a school,
Giving a lesson one afternoon.
Little Tommy Tompkins was the dunce and what a fool!
Didn't know which was the sun or moon.
Teacher said to Tommy Tompkins, "Well,
See if you can sing this while you spell:"

CHORUS: Constantinople,
C-O-N-S-T-A-N-T-I-N-O-P-L-E,
Constantinople.
It's as easy to sing it as saying your A-B-C.
C-O-N-S-T-A-N-T-I-N-O-P-L-E.
Show your pluck; now try your luck
And sing it loud with me.
Constantinople,
C-O-N-S-T-A-N-T-I-N-O-P-L-E.

2. Shouting out, "Oh, where, oh, where do I live?" Mister B,
Toddling homeward began to grin(?)
When a bobby grabbed him and said, "Sir, it seems to me,
You'll come along now(?) and ran him in.
When the sergeant saw him he said, "Oh!
If you can sing this chorus you can go:" CHORUS