Here is another translation.

Kalinka (Little Snowball Bush)

Chotus
Kalinka, kalinka, kalinka of mine
In the garden grows a berry like sweet sherry wine


Verse
Under the pine tree, under the green tree,
There I'll lay me down to sleep.
Ay liuli, liuli, ay, liuli
There I'll lay me down to sleep.

Chorus

Little pine tree, thou evergreen tree
With your rustling do not wake me.
Ay liuli, liuli, ay, liuli
With your rustling do not wake me.

Chorus

Oh, my darling, lovely maiden,
Won't you promise to be mine.
Ay liuli, liuli, ay, liuli
Won't you promise to be mine.

Chorus

I learned to play this as requested by a Russian (actually Ukrainian) friend. He said that the chorus is played slowly at first and then faster with each repetition.