ActionScript 3.0 :: Flash - Container To Stay Visible (easy Enough By Setting MouseEnabled Or MouseChildren To False)

Here is what I want:

1) a sprite with a rollover/out tween, going from alpha 0 to 1 on rollover, and back to 0 on rollout (let's call it "containerSprite"). That part is cake.

2) another sprite within the container (let's call it "closeButton"), that goes along for the ride (i.e., its alpha gets tweened along with the container). That's easy enough to do by making it a child of "container". When I say it is "within" the container I mean in terms of x/y.

3) when I move the mouse within containerSprite and onto closeButton, I want the container to stay visible (easy enough by setting mouseEnabled or mouseChildren to false). But I want closeButton to respond to mouseDown events, so I can't set it to mouseEnabled=false, nor can I set containerSprite.mouseChildren=false.

4) there will be several other sprites within the x/y of containerSprite, each with their own rollover/out tween. The catch is, when the mouse is within containerSprite and rolls onto one of them, the alpha of containerSprite SHOULD tween out (unlike when rolling onto closeButton).

For the life of me, I cannot get it all to work. I can get the desired behaviour in (4) easily enough, either by making the other sprites (mouseEnabled) children of containerSprite, or by making them siblings of containerSprite but higher in the display list. But the desired behaviour in (2) and (3) is vexing me: if closeButton is a child of containerSprite then its alpha tweens along with containerSprite (desired), but because it must be mouseEnabled, moving the cursor onto it triggers containerSprite's rollout event (undesired). If instead it is a higher sibling of containerSprite rather than a child, it has the same problem: if it is mouseEnabled, moving onto it counts as a rollOut event for the container. It seems like the solution ought to be easy, and I'm just missing something that is in plain sight.