"My Darling Asleep", in Gaelic "Mo Muirnin 'Sa Codlad" is also known as "The Mummer’s" and "My Darling's Asleep", it is a popular Irish session tune; so much so, that it is sometimes seen as hackneyed, and some call it "My Darling's a Sheep."
The first sound recording of "My Darling Asleep" was by Dan Sullivan's Shamrock Band in 1929. It has since been recorded by The Dubliners, Sean Keane, Boys Of The Lough, Jay Ungar And Molly Mason and many others.
It was printed in both O'Neill's Music of Ireland: 1850 Melodies (1903) and Dance Music of Ireland: 1001 Gems (1907) and Williamson's English, Welsh, Scottish and Irish Fiddle Tunes (1976).
I play this tune in medleys with:
      "Miller's Maggot"
      "Money in Both Pockets"
both in this section.
I learned this at our Monday night jam and Williamson's book.