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First, praise:
Bolding 'section' headers to make this easy to process... but I wanted to start out by saying that I have been using FEBE for a couple of months or so, and loving it. The ability to take *my* profile to a new computer is... priceless. As well as being able to rebuild my OS and know that all I have to do to have a seamless experience with my Firefox profile is install Firefox, FEBE, and restore my latest backup. That's just awesome.
I just discovered TEBE as I was having troubles moving my Tbird profile from a portable Tbird install to a permanent one. TEBE exists? HOLY COW AWESOME. ...*ahem*. Sorry. Just a little excited.

The Error:
From the pop-up dialogue box's "Copy to Clipboard":
[Exception... "Component returned failure code: 0x80004005 (NS_ERROR_FAILURE)
[nsIZipWriter.addEntryFile]" nsresult: "0x80004005 (NS_ERROR_FAILURE)" location: "JS frame ::
chrome://tebe/content/tebeZip.js :: anonymous :: line 80" data: no]
Error adding global-messages-db.sqlite to zip archive
Tbird version: 3.0.2
Mozilla/5.0 (Windows; U; Windows NT 6.1; en-US; rv:1.9.1.

No addons except TEBE.
This is a "Portable" Thunderbird, from PortableApps.org
Process:
1. Installed TEBE
2. Defined backup directory
3. Tools -> TEBE -> Perform Backup
While the status window with "Abort" displayed, after a few moments, the popup by the system tray appeared, with the error above. After copying, then closing; TEBE/Tbird unresponsive; had to end-task.
Thoughts:
Anything you'd like me to try, I will do my best. My bug report is an intrusion on your time, so no worries if nothing presents itself.
I'm really hoping that it has nothing to do with the fact that this is a portable installation of Tbird.
EDIT: Forgot to mention that I did search the forum first; found some FEBE issues, but nothing that seemed to really apply...
EDIT2: Using TEBEbeta(20090111_192528).xpi