Sorry, Joe, I did not actually look at my Bok CDs, but of course the Connemara Cradle Song is the lullabye on Dear to Our Island. It is interesting that the last verse he transcribed as English; "dey'll sheen ower da cradle" (they'll shine?) sounds more southern mountains US to me. There is a Gaelic phrase that includes something that sounds rather like "dalsheena" that has something to do with safe-and-sound, though my Gaelic spelling is hopeless; I supposed this was what he sang. I wonder if it was corrupted from that? I have not seen that verse in these other sources.
The Reader's Digest publication was called "The Fireside Book of Folk Songs" and I still see it in used book stores from time to time. Not as scholarly as Cole and others but a lovely source of songs, with bits of history of all.
"Ben" rolls right into "noo." It is interesting to hear how just singing the rolling "bairn" instead changes the melody with it.