Using WebOS Quick Install, go to Tools, then Receive File (you'll need to be in Developer mode to do this).
enter: /var/luna/data/dbdata/PalmDatabase.db3 and select your save location.
View the db3 file with: SQLite Database Browser
In SQLite Database Browser, select the "Browse Data" tab and look for com_palm_pim_FolderEntry in the drop down menu.
This will be pretty messy because Email and SMS's are stored in the same table within the database.
The best way to view the data, in my opinion, would be to do an export in SQLite, export com_palm_pim_FolderEntry in csv format (be sure to include .csv at the end of the filename, SQLite doesn't include this for some reason), then open it up with Excel or similar app. I deleted all columns except for deviceTimeStamp, fromAddress, timeStamp, summary, and messageText. I then sorted the data by the timeStamp column which allowed me to view my messages (received and sent) in the order they occurred. Sent messages have no fromAddress so if you attempt to sort by both timeStamp and fromAddress your messages won't appear in order with received messages.
Hope all that makes sense.