Be aware though that with what I described above you can not sync any changes made on the laptop back to the PC. So this would be strictly for viewing images an the laptop.
If you want to sync back and forth between PC and laptop you would have to put the catalog and the previews on an external drive that you connect alternatively to the laptop or to the PC.
Then you have only one catalog that both computers work with alternatively. I would recommend for this scenario also that both computers have the same version of Lr installed.