You could download driverGuide Toolkit from
Install it in the XP environment with all the drivers you want to save and then save them.
Once done, boot to the other copy of XP and ise device manager to reinstall the drivers for your devices using these saved copies.
The download is just under 4MB so wil take a little while to download but it's got to be quicker than downloading the individual drivers.
This is a trial copy of the software bur hey, you're only going to need it once.
It goes without saying, create a restore point before installing the new drivers, just in case