ActionScript 3.0 :: Controlling A Movie Within A Movie?

Here's my problem. I have a movie on a stage (MyMovie) that I can control with start and stop buttons. Let's call it MyMovie. Inside that movie there are 4 layers. Layer one has movie1 which contains a movie created with a movie clip symbol that has been tweened over 60 frames. Layer 2 has a movie clip which has the movement generated by action script using a simple aray. That movie has start and stop buttons controlling the action script movie. Layer 3 has a movie clip (movie3) that is generated using the built feature copy motion as actionscript 3.
 
I know it's kind of confusing so here's a screenshot of the MyMovie timeline:

Here is the Scene timeline:

The problem I'm running into seems like it should have a simple solution. The first line in the Actionscript for Scene 1 is stop(). I expect MyMovie not to play. The blue outline around the yellow circle is actually a blue circle below the yellow circle. It is the only component of MyMovie that derives it's animation from a tween. It is also the only part of the animation that is stopped. The yellow circle, motion by a tweening a simple array will play with the stop and go buttons and the orange circle animates all the time. Pressing the big go button causes the blue circle to animate, pressing the stop button causes the blue circle to stop, but all the other animations inside MyMovie keep running. I have no control over the embedded movies.
 
I seems to me that it should be easy to start and stop all elements embedded inside MyMovie by simply stopping MyMovie. There's obviously something that I'm missing here.