The object you have mapped as "EditTable" has a parent object called EditTbl. What kind of object is that?
The reason I ask is that you may be looking at a child object of something that TestComplete might actually be able to work with. If we can get a screenshot of the properties of that parent control, that might help.
Something else that might help.... what is the architecture of the application you are testing? Language it's written in? Platform? I'm seeing, in your screenshot, that there are some components that are showing up as .NET but there are a LOT that are just "Window("class", "caption", 1)" kind of things. TestComplete supports a WIDE variety of development platforms and component sets. It would be helpful to know what kind of application you're working with so we can target the help better.
In any case note in your screenshot above that your object is showing as a WndClass DataTbl. That class, as far as I can tell, is not a recognized control by TestComplete. So, natively, TestComplete cannot expose any of the internals. In order to try (and this is not a guarentee that it will work), go to Tools -> Current Project Properties and find the Object mapping item in the properties tree. Reference https://support.smartbear.com/testcomplete/docs/testing-with/object-identification/improving/mapping.html and see what you can do about associating your class with an existing object.