"Page not found. What’s worse, a hilarious 404 page can’t be found either."
You need to point your webserver to the public directory as stated in the docs here. So in your case that would mean setting your vhost to point to: User/me/www/Craft-2.3.2644/public.

In that public folder you will find an index.php file, which tells php where Craft can be found, by default (which yours is) that will be ../craft.