Embedding a SWF into a Flash website. Symbols in the SWF not animating?

Hey fellow Flutherteers!

OK, so I’m making this website (in flash CS4, Actionscript 3.0). Nothing flashy, just a frame with buttons that point to 3 different flash animations.

The way I figured out how to embed the animations was to import their SWF files into the library and treat them as a symbol. This works well enough but the symbols that I used for animating some of the objects in the SWF (Like a bird’s flapping wings) aren’t playing. The actual animation plays, but the animated symbols in it are static.

Any thoughts on why this is happening? Also, am I going about this correctly? Is there a better way to imbed flash animations into a flash site?

Thanks!