Verify that the TestExecute instance on your slave machine has the appropriate Delphi plugin installed and activated. Next, make sure that the application version running on your slave machine, if you are using it, has the debug-info information avaiable. Thirdly, if possible, run TestComplete on the slave machine and investigate your name mappings and determine if the mappings are using properties, etc., that may be dynamic from one machine to another.
These are the first steps I would take in debugging your situation. If these don't help, let us know and we'll start digging deeper.
