I don't think that will work. The agent is set to only return the w/u it sent out based on the device number of the cs.ud file. The cs.ud file is your device and it is personally identifiable. If two units are found in the United Devices file, then it will only return the one that was sent to that device. The other will sit in the file until you delete it.
The way you can get around this is to download two agents. D/l the first and save it and all of its related files to a floppy(piece by peice, too big for one floppy,) then copy this to the laptop in the same directories it would as if you had d/l it straight to the lap. D/l a second device and use it on the origional comp. when the lap finishes each unit, save all the files to floppies from the origional comp. Transfer all the files from the lap to the net connected comp. Send the w/u and get your new one. And do the same back to the lap. Put the net con. files back and wait for the lap to finish again.
This is a lot of work, but if you are willing, it will work.
Note: Your versions of Windows should be the same to ensure they are compatable agent workings. Ex.: 95 with 95, 98 with 98...etc.
