neither grub nor lilo are how these things boot. I don't know a whole lot about the NAND boot process, nor do I own an eDGe, so I can't verify this. However, in the context of android on phones, what ends up happening is you have a root image that gets flashed to the internal flash memory (NAND, it's essentially a ROM area on the flash storage), and the stock bootloader that has the kernel and so forth built in just boots from there.

On phones, you can also flash the bootloader, for instance on my HTC Touch, you have to flash a new NBH (basically the bootloader, kernel, initrd, etc.) if you want to be able to then flash a new rom to your phone. I'm assuming the eDGe does something similar, given that it's roughly a similar device. This is a pretty standard way of doing things when it's not a computer.