More on the melody, as noted earlier, the original melody is different than this one. I found this on a website for a recording of the song: CD CUT 6, "YAD ANUGA" (GENTLE HAND) COMP TRAD (WITH A LYRIC BY ZALMAN SHNEUR) PRESUMABLY ARR BY SAVINA YANNATOU (Haunting & spare - female voice alone: a famous "Israeli" song with a lyric penned early this century by the man who later became Israel's first minister of education.. melody is an old Bedouin one & is also allegedly a "Greek" lullaby from Constantinople)
Henry, if you go to http://www.dogpile.com and type in the titles of each song in "Yad Anuga" quotation marks, you will get lots of info.