Is there any trustworthy software or website that automatically forwards any bitcoins received at one or more addresses to a new address, as soon as possible? Perhaps even by increasing the fee a bit beyond the normal 0.0005 BTC to have a better chance at pushing through a transaction before someone else did?
It must be possible. I had redeemed some old bitbills by sweeping the private key to my blockchain.info wallet. I then much later tried to temporarily store some coin from my bitcoinspinner app on my android by sending to that private key while I rebooted my phone. Unfortunately, the coin was instantly swept out of that private key at my blockchain.info wallet to some unknown address, and I lost my coin! Another bitter lesson.
Your MtGox account probably got a small boost by the same amount.