Here's how Pete Seeger and Buffy Sainte-Marie (playing a mouth bow)
did it on Rainbow Quest. View it here. My God,they were so young and so talented!

Well, Cindy is a little gal
She lives away down south
She's so sweet the honeybees
Swarm around her mouth

Chorus:
Get along home, Cindy Cindy
Get along home, Cindy Cindy
Get along home, Cindy Cindy
I'll marry you some day

Well, I went to see my Cindy
She was standing in the door
Her shoes and stockings in her hands
Her clothes all over the floor

(Chorus)

My Cindy is a pretty girl
My Cindy is a peach
She throws her arms around my neck
And hangs on like a leech

(Chorus)

I wish I were an apple
A-hangin on the tree
An' every time that Cindy passed
She'd take a bite o' me

(Chorus)

She told me that she loved me
She called me Sugarplum
She drew her arms around me
I thought my time had come

(Chorus)

Wish I had a needle and thread
Wish that I could sew
I'd sew that gal to my coat tails
And down the road we'd go

(Chorus)

She loved me on the mountainside
She loved me on the hill
And every time she said "I won't"
Her echo said "I will!"

(Chorus)

She took me to the parlor
She cooled me with her fan
She said I was the prettiest thing
In the shape of mortal man

(Chorus)

She loves me in the summertime
She loves me in the fall
If she don't love me all the time
I want no love at all

(Chorus)

If I had a pretty gal
I'd put her on a shelf
Ev'ry time she smiled at me
I'd jump right up myself

(Chorus)

And pete made up one final verse just for the occasion.