Needless to say, there are different unemployment insurance plans in each and every state. Some states qualify for extended unemployment compensation (EUC) and others don't.
All States: Workers who used all of the 13 weeks of unemployment benefits before the passage of the November 2008 legistlation are eligable for an existing 7 weeks of extended benefits (20 weeks Total)--These 7 weeks are called "additional first tier benefits"
High Unemployment States---Those who are unemployed in states with more than a 6% unemployment rate ( for at least 3 months), are able to receive an additional 13 weeks of unemployment insurance benefits. (33 weeks total)---This is the Tier 2 (or Tier II) benefits
You can read more about Tier 1 and Tier 2 Unemployment Insurance benefits here.