Just last week I started hearing this ticking sort of like a bumping sound coming from my driver side power window....When I tried to start up my car my battery was dead. This is a battery I just brought last week. I check to see if I left any of the lights or anything else on but everthing was off. The only thing I notice when the car was off was the ticking sound coming from the window. Could this sound coming from my window be draining my battery when the car is off?

 

anything is possible, your best bet is to check for a drain while the car is off. if you do find a drain, start pulling fuses and checking to see if the drain remains. Don't forget to put the fuses back in after each cicuit is tested.
you will find your drain if there is one.