Damn. They totally told me wrong when I lost my job last year. They said that a company could deny your unemployment claim because of being fired. Then you could go through an appeals process, but ultimately if the company had decent cause to fire you, you would not win. Luckily my position was eliminated, so I didn't have to go through all that crap.
Oh... they ALL deny it. But the ultimate decision is up to the Unemployment office. Most of the time they grant it if you're fired.. NEVER if you quit.