Javascript prompt() output to PHP function

I've been trying to get user input from a Javascript prompt into a PHP function and have run into a lot a walls doing so. I am at a loss trying jQuery's $.post method- as the PHP simply does not want to execute, not sure why.

Anyways, here is a gist of what I am doing at the moment:

1 A project and its data are loaded from a database- this info is displayed in a table.

2 All data in the table is editable via Javascript prompt(), the code I am using for this is below:

<div id="lvl3"><a href="" onclick="popupprompt(1); return false"><?php echo $fetchdata['name']; ?></a></div>

The above work as such: lvl3 is a tag for font styling; blank href to make it act as a link; popupprompt is the prompt function I made, it takes one argument, the 'type' or what is being edited (1 for project name, 2 for project description, ect); return false so the page doesn't reload; php echo to display project data in the table.

3 Once the user clicks the object above- it executes a javascript function called popupprompt taking an argument of 'type', or what project info is being changed. the code for this function is below:

    function popupprompt(type) {
        switch(type)
    {
        case 1:
            var name = prompt("Project Name:", "");

            if (name != null && name != "")
            {
                //Change Project Name
                var getname = name;
                var gettype = type;

                $.post("edit.php", { type: gettype, name: getname });
            } else if (name == "") {
                senderror("Please enter a valid Project Name");
            } else {
                //Prompt canceled
                sendnotification('Canceled my ass!');
            }
            break;
        case 2:
                            //Description?
        case 3:
            //Version?
        case 4:
            //Release?
        default:
            alert("There was an error processing your request.");
            break;
    } }

Th issue I am having in this function is that nothing in edit.php is executed- and i haven't the slightest clue why. Also, i've had to change the brackets around so it shows properly in the code box- so don't mind those.

4 Anyways, now user input is posted to edit.php- which doesn't work, but i'll post it anyways:

    <?php
    $type = $_POST['type'];
    $name = $_POST['name'];

    switch($type) {
case 1:

    dbconnect();

    $urlext = geturlext();
    $authenticated = isauthenticated();

    if ($authenticated == false)
    {
        echo("<script>senderror('Access denied');</script>");
    } else {

        //Escape and trim input
        $input = trim($input);
        $input = mysql_real_escape_string($input);

        $update = "UPDATE 'projects' SET 'name' = '$input' WHERE 'name' = '$urlext'";
        $updatequery = mysql_query($update) or die(mysql_error());

        echo("<script>sendnotification('Project Name updated');</script>");
        }
    break;
    default:
    break;
    }
    ?>

Again had to move some brackets around. But anyways- this function is supposed to update the data in the database- however, it instead does nothing. I've placed alerts in the beginning and they are never called.

Anyways, long story short- if you know what i'm doing wrong please enlighten me, also, if there is a better way to do this- please let me know!

I appreciate all help, Thanks