"My Funny Valentine" has a verse?

There's more than we know to many songs in the Great American Songbook. Specifically, the verse—the part that precedes the chorus ("chorus," aka "refrain," being that part many of us think of as the "verse").

It's kind of the introduction to the song, the stage-setter, the explanation, sung once at the start and (unlike the chorus) never repeated.

I like verses. Some are charmingly old-fashioned. Some reveal "facts" (if there are such things) about a song that give it an entirely different spin and meaning.

For example, the verse to "Tea for Two" (music by Vincent Youmans, lyrics by Irving Caesar):

I'm discontented with homes that I rented
So I have invented my own.
Darling, this place is a lover's oasis
Where life's weary chase is unknown.
Far from the cry of the city,
Where flowers pretty caress the streams,
Cozy to hide in, to live side by side in,

Don't let it abide in my dreams.

(Then the chorus begins:) 

Picture me upon your knee
Just tea for two, and two for tea,
Just me for you, and you for me alone....

What we find out from the verse is the perfect life the singer imagines is all in her head. She's alone, lonely, and bitter.