Welcome VMan1,
I'd network them. You really need to put some thought into how you want to operate the office--both when the physician is there (you, maybe?) and when the physician isn't. For instance, if the physician isn't there, would there still be a receptionist there taking calls and scheduling patients? If so, then both need access to the database at all times. This means one machine should always be on. The second could always access the system from home remotely using a service like Logmein or Gotomypc. You may even wish to get a small server and stick it in a corner out of the way and let that run it.