Ok, so going off the steps on this page: http://www.adobe.com/devnet/flex/quickstart/embedding_assets/
I figured out how to embed a Flash library asset using the following steps: 1. Embed symbol as a Class (same as the link above). 2. Create a new instance of the Class as a Sprite. 3. Create a UIComponent, and add my Sprite to that. 4. Add the UIComponent to my Canvas. This seems more difficult that it should be. What am I missing?