The supporting material is called an extended example.
Explanation:
An extended example may be a narrative or way of supporting your argument in your speech. For instance, when you are telling a story and you need to strengthen or to reduce the complexity of some certain concepts. You can use a personal story or a narrative to strengthen and clarify your ideas, while in the same vein you are also making a personal connection with your audience.
A lullaby, or cradle song, is a soothing song or piece of music that is usually played for (or sung to) children. Perhaps one of the most important uses of lullabies is as a sleep aid for infants. As a result, the music is often simple and repetitive.