What computer is able to see the database? I really don't think you can do this with the way you are trying to set it up unless I am misunderstanding something. Generally, with remote connections such as RDP, RWW, VPN, VNC, Terminal services you can only access the remote desktop and not browse from the remote computer to the database directly. While you can use mapped drives, I am not sure why you wouldn't want to connect directly to the database on the server.
Let me know. I do have an idea if you want to PM.
The remote laptops can see the database files if I map the drive. I cannot browse the the server from the remote laptops though, because they are not on the domain. I would prefer not to use remote desktop or LogMeIn. I would very much love to connect directly to the database on the server but the remote laptops will not allow me to since they are not on the domain.