Tested with Audacity 2.1.2 on OSX 10.9.5 Mavericks.
There are two separate naming issues.
Export name
When I export an audio file, the name offered in the dialog box, is from a previous, deleted track. The first on in the project. The project itself hasn’t been saved. Several tracks were imported and deleted. When I tried exporting, only one track was in the project, though.
When one export has been completed successfully, the name is correct on a second export. When I import a second track and export that, the problem surfaces again, even after deleting the first track and after saving the project.
Copy name from track
Furthermore, if I click in the track window’s upper left corner to show the name of the track (that is correct) and try to copy the name with command-c, it closes the window and nothing gets copied.