The unemployment agency did not send me a w2 for 2008. I have to file my taxes to get child support off my back. The unemployment service in my town closed. How do I get a copy of my w2?

I will assume you mean the state office of employment security
** i.e. unemployment office.
Were you not filing online each week, most states had the paper work available online.

Also what does filing your taxes and your child support have to do with each other ?

Fr Chuck:

Deadbeat parents are routinely having their tax refunds (both state and federal) confiscated to pay back child support. Some even begin to depend on the process, which seems to be the case here.