That is happening because the licenses for your Fallout 3 DLC (and any other DLC) is still registered to and stored on your old console.
This means that only your account can use DLC on your new Elite, and only when your account is connected to Xbox LIVE. Your girlfriend's account has no access to any of your DLC on the new console and that's probably why she isn't levelling up any-more in Fallout 3.
To solve this, run the
License Transfer Tool to transfer your content licenses to the new console. After you run the tool, both accounts will have full access to your DLC.