Actually, I'm pretty sure the Fed is a privately-owned company, with preferred shareholders and everything. That's not to say the government isn't hugely influential on what it does, but that it's a completely separate entity.
Of course, I could be completely wrong. I'd actually be interested if someone had proof for either argument.
Seriously, if it involves the U.S. federal government, information about it will be easy to find. You don't need to guess or assume, just do a few simple searches.
edit: Well, not all of it, but the structure of the Fed isn't exactly a national secret.
Of course, I could be completely wrong. I'd actually be interested if someone had proof for either argument.