Hi Nick.
It isn't unusual for colors to be different between monitors and printed output. There are adjustments that can done to monitors (as with televisions) to change the appearance of images on screen.
I don't know a lot about it but for the Mac, at least, you can get a device that can be used to calibrate the screen. It looks a bit like a hockey puck with a cord and it is held against the screen during the calibration process.
If you are only using colors and not wood grain textures it is possible to use Pantone colors. These colors are standards for printing. You can purchase Pantone swatch books so you can see what a color will look like. This might be useful and is probably easier than calibrating monitors. If Steve uses 4635 C in a model, you can find it in the book to see how it should look printed.
There's also RAL-Farben which is similar but different.
If you think these would be a good way to go I'll get a link to you so you can add the libraries.