You can think of enabling Verbose Logging as pressing the record button on a video camera. Now that you're recording, you'll need to cause this error to happen again so that the Verbose Logging can capture everything that happens before, during, and after the error occurs.
Once you have finished recreating the error, your error messages will be written automatically to your log file which you can attach in a ticket to the Jungle Disk support team.
If the error you're seeing is due to something in the Network Drive feature and you're having trouble recreating it, you can usually cause this kind of error to come up again by running Help > Check Online Disk Consistency.