The issue:
Inheritance only inherits the code part of your user control. Markup is not something that can be inherited, since it is dynamically compiled at runtime.
The relationship between the markup and your code-behind is done through the .designer.cs partial class that comes with your user control. This designer file contains declarations for all the objects in your markup. This basically decorates the code-behind class with a bunch of fields that are null object references - these will be initialized with actual instances when the compiled markup code is run.
When you inherit from the .ascx file, you are inheriting all these null object placeholders. However, since the markup in your new control is not the same as the parent control, none of those objects are actually created when the new control's markup doesn't contain the corresponding markup, and when it is parsed and compiled, all the references stay null. Does this make sense?
The fix:
The best way to do this is to make your user controls self contained, i.e. favor code-based composition rather than markup based. In other words, instead of using markup, set up your user control using Page_Init and adding all the controls you need to the Controls collection in code behind.
Then when you inherit this class, all the same code will be executed, ensuring that your child usercontrol has the same UI controls in it.
