net use > C:\users\public\drivemappings.txt
or
net share > C:\users\public\open_shares.txt
Will export the currently mapped drives to a text file. Getting the creds associated with the mapping would be rather difficult. the second option (net share) might show them.
More importantly, why would someone without a VPN have access to a domain share? Best practice says you should keep BYOD (including personal laptops) off the network, no matter what. The risk is too high.