This page has a translation for the three lullabies:

2. Three Lullabies (1991), opus 49, by Henryk Gorecki

i. Go to sleep,
Go to sleep and grow up.
You will take my geese
To the green pine forest.
Rock the cradle,
Rock yourself,
For when you fall asleep,
I will stack the hay.

ii. Rock, rock
Lime wood cradle.
May Jesus protect you
My son.
Rock, rock
From wall to wall.
Go to sleep, go to sleep
My darling son

iii. Don't crow, cock, don't crow.
Don't wake Mary.
The night was short,
She didn't get enough sleep.
She did not sleep the whole night through.
She wept the whole night.
Hushaby, Mary,
Hushaby, my little one.