I found a recording on Spotify that includes the chorus but not the verse. I found the text of the verse on the internet, here, but I can't confirm it's correct.

NEW ORLEANS
Hoagy Carmichael
New York: Southern Music Publishing Company, Inc., 1932.

VERSE: I've a home in the sunny Southland not so far from the 'Sippi shore.
It's away down there by the Delta where you'll find old Dixie's door.
If your heart's made to love the Southland and magnolia trees galore,
Hang your hat up, man, in New Orleans and you'll never wish for more.

CHORUS: if you've never seen a quaint old southern city,
Just think of New Orleans.
If you've never seen that town, boy, it's a pity.
There's nothing like New Orleans.
It will remind you of old-fashioned lace.
A glass of wine will greet your smiling face.
And if you ever see a black-eyed gal like mine, boy,
You're right in New Orleans.