This isn't the most popular tune for this particular carol; though it is in Carols for Choirs 1, I've never heard it sung in a service.
Any mother will tell you that "no crying he makes" is a complete fiction; it's bad theology to imply that the Christ child was not fully human, as well as fully divine. But I like this tune, so here you go.
Away in a manger by artsyhonker
Away in a manger, no crib for a bed,
The little Lord Jesus laid down His sweet head.
The stars in the bright sky looked down where He lay,
The little Lord Jesus asleep on the hay.
The cattle are lowing, the baby awakes,
But little Lord Jesus no crying He makes.
I love Thee, Lord Jesus! Look down from the sky,
And stay by my side until morning is nigh.
Be near me, Lord Jesus; I ask Thee to stay
Close by me forever, and love me, I pray.
Bless all the dear children in Thy tender care,
And fit us for heaven, to live with Thee there.