As your problem statement is quite unclear, I will make the following assumptions. Please confirm/correct them:
- By "parent-child UC" you actually mean sequencial execution. A Product must first be created, then modelled, then proced, etc.
- One actor (Product creator on my diagram) executes always the "Create new product" and 2 more, while other actors (Actor1, Actor2) use the 4 UC (other than Create).
If so, the point here is to establish the workflow (UC order of execution) and user permissions. Permissions are easily shown using associations between actors and UCs.
Workflow is not directly depicted on a UC diagram. You should not use relationships between UCs to indicate their sequence (although there is a way). I recommend two actions to achieve what you want to achieve:
- Use pre and postconditions for each UC to mark the legal sequences (see the diagram for an example and eventually an UML book to understand the concept pre and postcondition)
- Draw an additional activity diagram to show the overall workflow. You can even trace activities to UCs (graphically or descriptevly) to show which UC implements which activity
This would be the corresponding use case model:

And here is an example of an activity:
