So glad to find the full lyrics to this song, including the verses, and to see Fletcher's original poem.
I agree, Joe, that the final product is quintessential Cole Porter, but obviously Fletcher provided the basic outline of what became this "Cole Porter song," as well as some of the lines in the final version.   I'm so glad he was able to get some overdue recognition for his contribution to the song.

It's very hard to find recordings of the song that include the verses. Not only do most singers skip them, but when you search a discography or song catalog it almost never tells you whether the version in question is complete in that regard.

Fortunately, I did find a nice YouTube version with a guy who sings the whole song: