It IS "In the Wee Small Hours of the Morning". These are the lyrics to Frank Sinatra's version:
In the wee small hours of the morning,
While the whole wide world is fast asleep,
You lie awake and think about the girl
And never, ever think of counting sheep.
When your lonely heart has learned its lesson,
You'd be hers if only she would call,
In the wee small hours of the morning,
That's the time you miss her most of all.
(Musical interlude)...
That's it, they don't write 'em like that anymore. I knew there was a "shipper" lurking here
A song that came after the show (I think) That had lyrics like "Wrapped around each other, trying hard to stay warm...
I was your hero, and you were my leading lady... Here's looking at you kid... We were like Bogie and Bacall, sailing away to Key Largo." #
Of course they'd have to get David and Maddie into a meat locker or something. But I could hear some of this on the soundtrack. Sheesh, wee small hours do make a guy sappy.