Unemployment is insurance paid by your employer in case the company has to lay you off. If your employer is going through layoffs as many business are, it's possible you could volunteer to be one that gets laid off. You should talk to your employer and make sure both of you are clear on what the terms of your leaving will be however.
FMLA info:
http://www.dol.gov/whd/fmla/
Answered Dec 29, 2010
Edited Dec 29, 2010