Amacey:
Have you tried with a different power supply yet?
What about the steps I lined out earlier?
1) no drives cd/dvd or hard drives
2) no memory or minimal and or different sticks if possible.
3) no keyboard (just unplug the ribbon cable)
4) no battery (not Cmos battery just the laptop main battery leave the cmos battery in for now)
5) different power adapter if possible
Removing the cmos battery will reset any user defined settings in the bios including date and time. battery must be removed for a length of time (1 to 10 minutes) to clear the clock. I don't think this is an issue for you to be concerned with as you noted the motherboard has been replaced. It is possible we are barking up the wrong tree here and the inverter or lcd is bad but after reading through this post again the sheer fact that there are no beeps, a whirring noise(dvd, hard drive or fan make those sounds) and still not posting (no beeps or curser on the screen tells us this) it seems something not already changed is at fault. My bet would be on Hard drive or memory. try each mem stick one at a time to see if it changes anything. we have ruled out dc jack, motherboard so far.
let me know if the list above makes any noticeable difference.