Here's an English version (don't ask me whether it is close or not)



    Kalinka Kalinka Kalinka of mine
    In the arbor grows a berry as sweet as red wine
    Under the tree, under the green tree,
    Ai liu li liu li
    Lay me to sleep

    Kalinka Kalinka Kalinka of mine
    Little tree, oh little green tree
    Please don't let your leaves rustle under me
    Ai liu li liu li
    Don't let your leaves rustle under me

    Kalinka Kalinka Kalinka of mine
    Beautiful maiden, maiden of my soul
    Please fall in love with me
    Ai liu li liu li
    Please fall in love with me


Wolfgang