"if you know any ladies who want any babies/ just send them around to me" -- now that does strike me as a unusually suggestive "infant lullaby," which is not to say it's inappropriate... I think babies appreciate just about anything you sing to them, especially if it has a good rousing rhythm, which "this is the day we give babies away" has; it also has a good tune that flows very naturally (the first six notes are the same) as "Island way out in the sea, where the babies they all grow on trees"...