Hi MH,
I'm sorry you're having trouble with your restore. You can stop a hangin restore restore by either killing the spid that LiteSpeed is using or by ending the LiteSpeed process (sqllitespeed32.exe). You will not have to stop the SQL Server process at any point in time.
You can then restart the restore and if the problem persists you should contact Quest support. LiteSpeed is supported 24/7 and they'll be happy to help you.
Regards,
David Swanson
Quest Product Management