Chrome should shut down cleanly when quit from the Dock icon menu, during...

chrome/browser/browser_main.h

 // Copyright (c) 2009 The Chromium Authors. All rights reserved.
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
 #ifndef CHROME_BROWSER_BROWSER_MAIN_H_
 #define CHROME_BROWSER_BROWSER_MAIN_H_
 
 #include "build/build_config.h"
 
 struct MainFunctionParams;
 class MetricsService;
 
 namespace Platform {
 
 // Perform platform-specific work that needs to be done before the main
 // message loop is created, initialized, and entered.
 void WillInitializeMainMessageLoop(const MainFunctionParams& parameters);
 
 // Perform platform-specific work that needs to be done after the main event
 // loop has ended.
-void WillTerminate();
+void DidEndMainMessageLoop();
 
 // Records the conditions that can prevent Breakpad from generating and
 // sending crash reports.  The presence of a Breakpad handler (after
 // attempting to initialize crash reporting) and the presence of a debugger
 // are registered with the UMA metrics service.
 void RecordBreakpadStatusUMA(MetricsService* metrics);
 
 }  // namespace Platform
 
 #endif  // CHROME_BROWSER_BROWSER_MAIN_H_