For example, in the sentence I want to sleep.
The verb want takes two arguments, which get two theta roles, I gets the agent role, what theta role does to sleep get?
Here is another example: I want her to sleep.
What theta role does to sleep get?
Here is my third and last example, I want to sleep her. What role does her get? Is her part of the infinitival so does not get assigned any role?
It is important to note that the tags I was able to put on were not even remotely accurate in describing the type of thematic roles I am discussing here in this post. Unfortunately, they they haven't created a tag for theta role theory nor do they allow me to create a new one.