In this post Dante Gagne explains what is a Drawing Brush, how to use it, what it's good for and so on.
First off, what is a DrawingBrush? It's one of the three kinds of TileBrushes that WPF recognizes (along with ImageBrush and VisualBrush). Simply put, it allows you to use a Drawing as a brush, to use on any arbitrary shape.
So, what's a Drawing? A Drawing is simply a set of Visual Elements. You can use pretty much any visuals, rectangles, buttons, Images, etc... but once they become a Drawing, they are no longer interactive.