How do you correct a cache with Google? They appear to have an incorrect suffix on your website homepage link. www.YourWebSite.com/Home_Page.php should be www.YourWebSite.com/Home_Page.html.
How can you change this so people arrive at your home page and not receive a 404 error page. You can have Google remove cached page(s) or outdated page(s). If you own a site, to request removal of an outdated cached version of a page from search results:
Verify your ownership of a site in Webmaster Tools. On a Webmaster Tools home page, click a site you want. On a "Dashboard", click "Google Index" in a left hand navigation.
Click "Remove URLs". Click "Create a new removal request". Type a URL of a page you want removed, and then click Continue.
Note that a URL is case sensitive, you will need to submit a URL using exactly same characters and same capitalization that a site uses. Make sure you find a right URL that you want removed. Select a "Reason" under a drop down list.
You have three choices available:
* Remove page from search results and cache
* Remove page from cache only
* Remove directory
Click on "Submit Request". Also, you can add your top level domain URL to Google. I suggest just submitting your www.YourWebSite.com URL.