Aha! Found it!
Marais & Miranda Folksong Jamboree c1960, published by Ballantine Books.
Pretty Kitty written by Josef Marais c1946 and 1956.
Page 48!

Pretty Kitty   
Chorus:
Out in the wide world Kitty, pretty Kitty,
Out in the wide world Kitty, far across the sea.

My Kitty sailed away from me to strange and distant lands
And when I asked a goodbye kiss, she said, "Oh no, shake hands!"

When Kitty left, she said she'd write, I promised her the same,
But her address somehow got lost, and she forgot my name.

Refrain:
Kitty, Kitty, pretty Kitty, Will she be coming back to me?
Chorus:

Afrikaans origin. This was evidently a children's game:

Ver in die wereld, Kitty, liefste Kitty,
Ver in die wereld, Kitty, Kitty oor die see.
Sy laat haar draai, sy laat haar swaai,
Maar sy laat haar nie verrai.

Literally:
Far in the world Kitty, dearest Kitty,
Far in the world Kitty, Kitty over the sea.

She lets herself be turned, She lets herself be swayed,
She does not let herself be betrayed.

Robyn