>If I have MyForm based on a class, and the class has an object on it, why am I not able to delete the object from MyForm? I have to hide it by moving it off the screen or something like that. I'm sure there is some class rule about it, but it seems that if I don't want part of something from the parent on MyForm, I should just be able to remove it.

That's just how it works. You can not delete a member of a parent class visually in a designer.

You may do it in the code using RemoveObject() method.