It sounds like your therapist is too involved in your personal life and possibly stepping over boundaries asking you to bring in info so she can help her son. I wouldn't like that at all. Your salary and company name, even, shouldn't be of interest to your therapist especially if you didn't bring it up yourself. I would laugh if my therapist had said she'd "ask around" for job openings for me as, generally, they have "therapy" appointments most days and are in a wholly different "field" than I am (and their coworkers probably would be too). It's not like I'd want them to ask other clients if they knew of jobs for me!

I would check out other, "secular" therapists and see if you can't find one you find more helpful.