Select li elements in #nav that have a tag, but do not have http in href attribute

To add an image to local links in a navigation menu I need to use jQuery to select the <li> elements in #nav that have an <a> tag, but do not have http in href attribute

HTML

<table>
    <tr>
        <td id="nav">
            <ul>
                <li><a href="index.php">Home</a></li>
                <li><a href="schedule.php">Concert Schedule</a></li>
                <li><a href="schedule.php#tickets">Ticket Information</a></li>
                <li><a href="auditions.php">Auditions</a></li>
                <li><a href="donationsSponsors.php">Sponsorship/Donations</a></li>
                <li><a href="board.php">CLSO Board</a></li>
                <li><a href="contact.php">Contact Us</a></li>
                <li><a href="about.php">About CLSO</a></li>
                <li><br /></li>
                <li id="cbLink"><strong><a href="carminaBurana.php">Carmina Burana</a></strong></li>
                <li><br /></li>
                <li><a href="http://www.facebook.com/group.php?gid=298508317957"><img id="facebookImgLink" src="images/facebookLogo.png" alt="Image link to CLSO on Facebook" /></a></li>
            </ul>
        </td>
    </tr>
</table>

CSS

#nav ul { list-style-type: none; }

#nav {
    background-color: #BCBCBC;
    width: 180px;
    vertical-align: top;
    padding-top: 30px; }

#nav a {
    text-decoration: none;
    padding-left: 15px; }

.addNote {
    background-image: url(../images/menuNote15h.png);
    background-repeat: no-repeat;
    color: #FFFFFF;
}

#nav ul { padding-left: 20px; }

#cbLink { font-size: larger; }

#facebookImgLink { width: 20px; }

JavaScript

$(function() {
    
    //$("div").not(":has(img)") 
    //$("div:not:has(img)");
    
    // select all <li> elements in #nav that have an <a> tag, but do not have http in href attribute
    //$('div:not([class])')
    $('#nav li:not([href^="http"]').hover(function() {
        $(this).toggleClass('addNote');
    });
    
    /* this applies class to all li tags in menu
    $('#nav li').hover(function(){
        $(this).toggleClass('addNote');
    });
    */
});