2004 blower motor won't turn off-battery being drained

I have a 2004 Impala LS 3.4L Long story short... Battery dies unexpectedly, won't keep charge, Installed new one 5 days ago, it has died as well, when I finally get it home after a jumpstart I notice that the fan (interior) is still blowing even though I turned it off and the key is out of the ignition.

All interior fuses are good I finally get it to turn off after removing the blower fuse (which is good) on the upper underhood fuse box. What's going on?
Have I got a bad motor or relay?:screwy:

The fan control seems to work, the light for which intake-exterior or interior turns off when I turn the fan speed switch to off. And the fan speed changes when I turn it up and down but the fan itself won't turn completely off when I turn off the car.

Thanks for any help!!!

id get a wiring diagram and feed thru it and start checking switches and such. Email me and ill send you a wiring diagram from mitchell if you need it

The blower resistor is shot. They get water in them and short out, causing it to not shut off, as the relay is built into the resistor and sticks closed.

Thanks for the replies, it was the resistor! Wish I'd heard the fan blowing earlier and saved the money on the new battery. Quick fix-thanks again!!