The Gateway Solo AC adapters's will work (the 65-70 watt 19 volt ones) if you have the block but need the barrrel AC cord then that can be found at Radio Shack for $3....
The majority of the GCT's don't have the 44 pin IDE header but have just the soldering pad for it or if it has the header then sometimes on pin is missing which need to be repaired (other than the middle keying pin)
Just about any of the mini pci III cards will work, the RG45 connecter connects through the actuall PCI contacts so there isn't a actual connecter on the mainboard but there is a standard connecter for the modem to the RG12 phone line port.
Most the info is here in this section, also check out the I-Opener side too as the same company that made the GCT's also made the i-Opener's and they share comman design.
On the memory, I have used as large at 256mb SODIMMS, be sure to use the 16 chip design (8 seperate chips on both sides) I once tried a 32 chip 512 mb SODIMM but it wouldn't physically fit due to it's size.
Check out the search function here; there is lots of info to be found, there hasn't been a whole lot of interest in the GCT mainly due to GW discontinuing them and the fact that the CPU isn't socketed like the i-Opener, personally I think the GCT is a better design since it has the mini-pci, touch screen and 400 mhz CPU; It's even possible to replace the DSTN LCD with TFT which for those who recall some time back there was someone who posted that they had seen a couple prototypes when they worked for Gateway that had TFT displays.