Their are a few companys that make boards and powersupplys that will let you take an old laptop screen and connect it to VGA connectors, but they don't often sell to the public and by the time you add up the cost of sourcing one it makes your cheap old LCD from a dead laptop very expensive. Shame really.
As the OP found it out, an 1152x "VGA" screen can work on a DVI model TiBook. All TiBook screens are physically interchangable, sharing the same backlight and sleep connectors, as well as the hinges.
I've seen two possible scenarios with the OP's swap, the first as above where the "VGA" screen is properly IDed and works at its native 1152x rez. The second is where the 'Book thinks it has a 1280x rez screen attached and the extra pixels are generated by the 'Book but are (not visible) offscreen to the right and below. The difference seems to be in the cable, where testing different cables on a sample DVI machine and pre-DVI LCD produced the two different results.
The only feasible way to do it, is to find a standalone monitor which uses the same panel as the one you have. Ideally, you would then track down the standalone with a cracked panel, and buy it cheap for the controller board etc.