Read a outline prior to responding — we have an aged Mac, a using OS X 10.4.11, as well as we wish to Jailbreak my iPod Touch 2G with 4.0 software. But my mechanism can’t run a ultimate chronicle of Redsn0w, so we was wondering what else we could make use of to Jailbreak it.

There is another way, but it’s kind of tricky. First, you’ll need an iChisel. Getting this past the iGuards can be tricky–try baking it in an iCake. Get the iPod to dig through the wall of its iCell, then stage an iRiot and tell it to get the hell out while the iGuards are busy.
Unless you have updated to 4.0.2, (IF you haven’t don’t!) you can use Jailbreakme. It is a website that jailbreaks via that Safari browser on your iPod Touch! I have used it and it works great!
Jailbreakme.com