corrected as per notations from @YannickJadoul on #113

cibuildwheel/__main__.py

@@ -105,6 +105,26 @@ def main():
     # This needs to be passed on to the docker container in linux.py
     os.environ['CIBUILDWHEEL'] = '1'
 
+    try:
+        project_setup_py = os.path.join(project_dir, 'setup.py')
+        name_output = subprocess.check_output([sys.executable, project_setup_py, '--name'],
+                                              universal_newlines=True)
+        # the last line of output is the name
+        package_name = name_output.strip().splitlines()[-1]
+    except subprocess.CalledProcessError as err:
+        if not os.path.exists(project_setup_py):
+            print('cibuildwheel: Could not find setup.py at root of project', file=sys.stderr)
+            exit(2)
+        else:
+            print(err.output)
+            print('cibuildwheel: Failed to get name of the package. Command was %s' % err.cmd,
+                  file=sys.stderr)
+            exit(err.returncode)
+     if package_name == '' or package_name == 'UNKNOWN':
+        print('cibuildwheel: Invalid package name "%s". Check your setup.py' % package_name,
+              file=sys.stderr)
+        exit(2)
+
     build_options = dict(
         project_dir=project_dir,
         output_dir=output_dir,

cibuildwheel/linux.py

@@ -135,6 +135,7 @@ def build(project_dir, output_dir, test_command, test_requires, before_build, bu
         try:
             run_docker(['create',
                         '--env', 'CIBUILDWHEEL',
+                        '--name', container_name,
                         '-i',
                         '-v', '/:/host', # ignored on Circle
                         docker_image, '/bin/bash'])