Can't UML help you here ?
If you reverse-engineer your codebase into UML, then you should be able to draw class diagrams that shows the relationships between your classes. Starting from the classes whose methods are the thread entry points, you could see which thread uses which class. Based on my experience with Rational Rose, this could be achieved using drag-and-drop ; if no relationship between the added class and the previous ones, then the added class is not directly used by the thread that started with the method you began the diagram with. This should gives you hints towards the role of each threads.
This will also show the "data objects" that are shared and the objects that are thread-specific.
If you draw a big class diagram and remove all the "data objects", then you should be able to layout that diagram as clouds, each clouds being a thread - or a group of threads, unless the coupling and cohesion of the code base is awful.
This will only gives you one portion of the puzzle, but it could be helpful ; I just hope your codebase is not too muddy or too "procedural", in which case ...