When running a test list locally the application log does not identify which test list is being initiated. We identify the project path:
[05/12 11:54:26,Telerik.TestStudio.RemoteExecutor.exe(21132:15),Execution] RunningTestsController.StartTest() : Test run requested for Local path=E:\Users\Dad\Documents\Test Studio Projects\TestProject2

And then we identify the tests:
[05/12 11:54:28,ArtOfTest.Runner.exe(18324:5),Execution] ExecutionEngine.InternalExecuteTest() : Executing test: 'WebTest', path: 'WebTest.tstest.'

We just don't identify which test list was executed. A sample log is attached.