Amy:
The problem is in your setup: "The Adagio PROGRAM is installed on each of three computers separately."
This is result in the file and record locking not working correctly and will almost certainly lead to corruption of your data.
Adagio should be installad in a folder on one system (peer-to-peer or client/server). That must be shared with the same drive letter for all users on all systems. The data does not have to use the same drive letter as the programs.
Install all the Adagio modules on the "server." Use custom install and be sure to select the "workstation setup" files. Then run the workstation install on the other systems (\softrak\allwkst\allwkst.exe).
(Also turn off opportunistic locking on all systems later than Windows 98, including the server, by running \softrak\system\chksys.exe.)
This will ensure:
-- record and file locking
-- common userlist and permissions
-- proper user count with LanPaks
-- compliance with the software license terms.