Thanks to Richard W. Adams for doing this research.
'Mueller,' James R. Murray, 1887
The little Lord Jesus laid down His sweet [D] head.
The [G] stars in the sky looked [C] down where He [G] lay,
The [G] little Lord Jesus, [D] asleep on the [G] 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 cradle til 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 take us to heaven to live with Thee there.