When you mark something as independent, it will float free unless you attach it to artwork in the parent mesh. Your Head layer has no artwork in it - all children are marked as independent, so there is nothing to attach to, so everything there is effectively disconnected. Try making face-background not independent. That should then include that artwork in the Head mesh, giving the mouth and eyes somet4hing to attach to
Err, that previous reply is wrong - your head is not independent. Let me watch the video again (blush)
I still think you probably do not want face background independent, but the reason given was not quite right.
First, a quick primer on meshes and independence. CH has a tree of layers, and a tree of meshes. A new mesh is started when you mark a node as independent. The mesh controls how the artwork is warped and twisted etc, so all the artwork on the same mesh move together.
You start making eyes independent as you like them to move without the rest of the face artwork moving. Same is usually true of the mouth, eyebrows, etc. So you normally make parts of the face independent.
If you want the head to swivel separate to the body, you normally make the Head layer independent. But a layer must have some artwork in it for children to attach to it. So as soon as you make Head independent in your case (if you want it to swivel without moving the body) you probably want the face background NOT independent - it is the primary artwork for the head mesh.
Child meshes (child layers that are marked independent) attach to parent meshes by having the origin set to a position over the artwork of the parent. So if you have the full face artwork not independent, normally all the face features are over the top so attach easily without you having to do anything. But if your head artwork is independent, the eyes etc might have trouble attaching to the parent.
So, I still think you want your face artwork NOT independent. You *might* want you head independent (up to you). But the reason I gave before was not 100% correct.
I got the link to the project you uploaded. A few suggestions, but you need to try them to see if they are what you want to happen.
It was working a fair bit better after doing the above.
Thank you so much for the response I will try it this weekend!!!!