The name of the process throwing up the dialog. I'm guessing this will be Problem Reporter, but it's best to be sure.
Use version 1.5 of my window analysis tool.
Make sure the problem-reporter window is frontmost, and run the macro to create a comprehensive report on it.
From there we can likely figure out how to access the button.
Look at the thread where my window analysis tool is posted.
I've posted extensively on using System Events on this forum.
There is NOT a good manual for UI-Scripting ANYWHERE.
But there are knowledgable folks on this forum, on the Applescript Users List, MacScripter.net, and on UI Browser User's List.
-Chris