Question

 require 'facebook.php';

    $app_id ="11111111111111111";
    $app_secret = "11111111111111111111111111";

    $facebook = new facebook(array(
        'appId' => $app_id,
        'secret' => $app_secret,
        'cookie' => true
    ));

    $signed_request = $facebook->getSignedRequest();
    $page_id = $signed_request["page"]["id"];
    $page_admin = $signed_request["page"]["admin"];
    $like_status = $signed_request["page"]["liked"];
    $country = $signed_request["user"]["country"];
    $locale = $signed_request["user"]["locale"];
    $name = $signed_request["user"]["name"];

Answer 1

According to the facebook docs, the user property is

A JSON object containing the locale string, country string and the age object (containing the min and max number range of the age) for the current user.

Note the lack of any mention of a name in there.