GutBucketeer posted a jug band version in this message:

From the Jug Band Rag

THE SHEIK OF ARABY
Smith, Snyder & Wheeler, from TIN PAN ALLEY (1940)
on Kweskin: GARDEN OF JOY, WHAT EVER HAPPENED TO THOSE GOOD OLD DAYS...

[NOTE:  The italicized lyrics are sung in the background by a second voice.  On Garden of Joy, Kweskin sang the lead and Maria Muldaur was the second voice.]

I'm the Sheik of Araby.
He's the Sheik of Araby, A very talented fella.
Your love belongs to me.
He plays piano in any key. You should hear him with the Dardenella.
At night while you're asleep,
His crescendo is tremendo. What a tune he can blow on a jug.
Into your tent I'll creep.
His obbligato is sweet and hot-o. Oh my, he even does the bunny hug.
Oh, the stars that shine above
He knows the latest ragtime songs. He plays Sheherezad-ee.
Will light our way to love.
And that is why my heart belongs, My heart belongs to Baghdad Daddy.
You'll rule this land with me,
Vo doedly-o doe, Vo doedly-o dee.
'Cause I'm the Sheik of Araby!
Sheik of Araby!