General UE question. - (See message)

I'm considering a job through a government entity--a county health department.  Does anyone here know if one gets laid off from a government job if they can file for unemployment, or are gov't entities exempt from that?  I had an interview, and they offered up-front that their intention is that the job is permanent, but, of course, they couldn't guarantee against future cut-backs.  This made me start to wonder, with all the budget woes in the gov't arena....would I be out in the cold if my position did got cut in the future?  

I'm not sure if that's an appropriate question to ask the hiring manager since it might seem like I'm already planning on looking for unemployment, which I'm definitely not.  His comment just made me start to wonder about that!  

So, for instance, if you worked for a county health department, a school district, or the VA hospital, are you still eligible for unemployment if you get laid off?  Since so many here have had to face unemployment, I thought maybe someone would have run across this question before.  TIA!