I remember the night
And the Tennessee Waltz
'Cause I know just how much I have lost
Yes, I lost my little darling
The night they were playing
That beautiful Tennessee Waltz
I remember the night
And the Tennessee Waltz
'Cause I know just how much I have lost
Yes, I lost my little darling
The night they were playin'
That beautiful Tennessee Waltz
She goes dancin' through the darkness
To the Tennessee Waltz
And I feel like I'm falling apart
And it's stronger than drink
Cohen played this song many times during his 1985 tour. On the 2nd of February, in Birmingham, he  introduced it  saying: 
 Friends, I’d like to sing a song that I didn’t write. It’s an old song, it’s a beautiful song. I wrote a couple extra words to it. And it’s a song that I loved all the time I was growing up, and I hope you’ll like it too. It’s called “The Tennessee Waltz.” 
 These here are the extra verses added by Cohen, much darker than the rest of the song.
Tennessee Waltz Live