I think that the two screen dumps you included are for the actual emails - i.e. they have the same data as are on the gmail server.
If you go up the folder tree from "01-BSE" do you get to the folder "ImapMail"?
The contents are similar... The first one if from Thunderbird itself (eMail client) and the second is from imap in the profile directory. I don't know if Thunderbird is accessing the profile on the hard drive or is accessing the GMail server. The same data appears to be in both places.
If you do then I would expect the next folder at the same level as "ImapMail" to be "Mail", and under that you will find the folder "Mail" and the first folder within that will be "Local Folders".
I don't recall having to create (within Thunderbird) the "Local Folders" - I think it was just there automatically.
I'll check later tonight... I've got a couple of gators here that have to be put down first (for my 'real' work).
If (a dangerous word here) I am correct all you need to do is copy (or move), within Thunderbird, the project folders from where they are to under "Local Folders".
I just want to have a local copy and if I delete some files on GMail account that they won't be removed from my hard disk copy. I've already made a copy of the profile files on one of my portable hard drives.
If you log in to gmail on the internet instead of via Thunderbird do you see "01-BSE" and the folders under it as shown in your previous post?
The eMail data is consistent on both GMail and Thunderbird. If I delete a file on one, it's deleted on the other. If I move a folder on one, say from an active project to a completed one, it's done to both GMail and Thunderbird. I'm pretty sure they are both accessing the GMail server. It may be that if I increase GMail that I will quit getting the Thunderbird notification that I'm over 90%.
Thanks... sorry for taking up so much of your time... Dik