OK, here's my rather literal translation, not meant to be singable:

LITTLE MAN

My father gave me a husband.
Oh, but what a man! What a little man!
My father gave me a husband.
Oh, but what a man! He's so little!

The first night I slept with him,
Oh, but what a man! What a little man!
The first night I slept with him,
Oh, but what a man! He's so little!

I lost him in the straw …

I set him on a plate …

The cat took him for a mouse …

O cat, O cat, that's my husband …