Neon Power window not working

I have a 2002 Dodge Neon SE with a 2.0L SOHC 93,000 miles and Automatic Trans.
My problem is the passenger power window will not go down. I've tried both control switches and I don't hear any noise from the window motor. Perhaps related is I get a faint horn beep when opening the passenger door (I can't see the dome light switch). Does this indicate an electrical short in the window regulator or motor?