My parents sang "Rockabye Baby", "Sleep, Baby, Sleep" ("Thy father tends the sheep"), "All Through the Night", I think "Sweet and Low", and other goyisher stuff. No "Rozhinkes mit Mandeln" or "Oifn Pripechok" in the Friedman house! They also sang a rather tuneless one that started "So close your eyes and go to sleep" that I've never heard anywhere else.

But when my mother really wanted us to sleep, she sang all the verses of "On Top of Old Smoky". As Sandy Paton pointed out, it's the repetitive verses that do it. And no worries about whether she was programming us for a life of misandry.