Simlar to Hush Little Baby is Say Darling Say - different tune with many of the same verses.   Hobo's Lullaby is nice although the verse about the police could be omitted I suppose if there was concern that it might may be confusing to kids.   James Taylor's "Sweet Baby James" was always a favorite of mine to sing as a lullaby, although I usually only did the first verse - if the child is young enough they dont ask questions about the "thinking about women and glasses of beer" line.