MacBook Pro :: Partition On SSD Broken After Falling Into Sleep When Battery Dies?

I have a mid2009 MacBook Pro 15" 2.8 Ghz with an 1TB in the main bay and a Verbatim 128GB SSD in my optibay. I also upgraded my RAM to 2x 4GB. It runs the latest Lion version.

Here is my problem: 

When I work on my battery and there's no power left, it automatically shuts down. Right? The sleep/wake light lights until the battery is out of power. If I then try to reboot, the Apple and a loading-bar appear which shows that it is recovering the previous session so that I can continue where I left (right?).

The problem is that it fails at 1/3rd of the bar and the screen goes black. After resetting PRAM and the other resettable things, it still won't boot on that partition.

I tried to repair from an external Lion installation drive, my second partition (which also runs lion) and from the Recovery HD (of both partitions). I always get the same problem (see picture). 

This is happening to me all the time. After several reboots i can acces my files again, but I still can't boot from my partition because it fails loading my last session. It certainly isn't the disks fault because I can boot from the other partition on that very same disk w/o any problems. Right now I'm trying to make an identical copy with Disk Utility (as described by Apple).  

My question now is: Can I repair the partition by any means without reformating it (as I did the last times)?

Furthermore: Can I just disable the function that tries to backup/restore my last session so that my MBP just shuts down or does a hard shutdown when the battery dies?  

PS: My Time Machine drive is at the moment not available, so I couldn't backup in a while, I need the files.