The
T22 is pretty old:
"Specs: Processor: Intel Pentium III (900 MHz); RAM installed: 128 MB SDRAM; Weight: 5.3 lbs; Display: 14.1 in TFT active matrix Integrated; OS provided: Microsoft Windows 98 Second Edition (Preinstalled); Chipset type: Intel 440BX"
According to that page, the machine only has a CD drive. So DVD-R based distros will not boot. That explains fedora.
There is only 128MiB of RAM, so Ubuntu won't boot either - you need at least 192MiB. Try the alternate CD and XUbuntu.
The laptop matches the minimum requirements for Zenwalk... don't expect ZenLive to boot. But the install disk should be fine.
Curious: I see puppy won't run either... but feather, mu, and DSL should be fine. May want to look at debian - text install.