As far as I know, that is the more or less complete lyric, but since it was passed from my grandmother to my mother to me to my children, I wanted to know if we had changed the "original" lyric.It is beautiful, and it will be the title of the book I am writing about my mum.
My children, who are now 24 and 26, still occasionally sing it with me when we see a crescent moon. Then we all puddle up a little, remembering that Granny and Grandma aren't with us any more to sing it. (But then, I can cry at some soft drink commercials.)
j. molnar