var removeWhenOpen = true; var done = false;
var timer0;
jQuery(document).ready(function() {
    $('#doors').hover(function() {
        jQuery('#door-left').stop().animate({left:-500}, 1500, function() { if (removeWhenOpen) $(this).remove(); done=true; });
        jQuery('#door-right').stop().animate({right:-500}, 1500, function() { if (removeWhenOpen) $(this).remove(); });
        var timer0 = setTimeout(function() {
            jQuery('#ladyonthelake').stop().animate({opacity:0}, 2000);
        }, 5);
    }, function() {
        jQuery('#door-left').stop().animate({left:0}, 250);
        jQuery('#door-right').stop().animate({right:0}, 250);
        if (!done) {
            if (timer0) clearTimeout(timer0);
            jQuery('#ladyonthelake').stop().fadeIn();
        }
    })
});


<div id="doors">
            <img src="http://theitentrepreneurs.com/temp/ladyonthelake.jpg" width="347" height="520" border="0" id="ladyonthelake" />
            <div id="door-left" class="door"><div class="inner"></div><img src="http://theitentrepreneurs.com/temp/doorleft.png" /></div>
            <div id="door-right" class="door"><div class="inner"></div><img src="http://theitentrepreneurs.com/temp/doorright.png" /></div>
        </div>

jQuery('#door-left').stop().animate({left:-500}, 1500, function() { if (removeWhenOpen) $("#doors").remove(); done=true; });