I have 3 Fidelity accts.
1 brokerage and 2 IRA's, and I get 3 statements/month showing what I own, just as you do...done deal.
It appears who ever you are talking to does not know how to explain it correctly.
I suggest you take your Dec-2009 statements to a local office, ask to speak to a Certified Financial Planner (CFP) and get the story straight.