Lightbox and jquery.js conflict

Question

Hi I have a query.js and a lightbox.js javascripts running on the same page and they are conflicting. They both work great seperately but when combined the scripts stop working.
I found a forum that is closed that reference's this solution:
   <script>
     jQuery.noConflict();
     // Use jQuery via jQuery(...)
     jQuery(document).ready(function(){
       jQuery("div").hide();
     // Use Prototype with $(...), etc.
     $('someid').hide();
   </script>
However, I am unsure of what to do with it. The forum referenced changing the name of the 'someid' but I don't know what to change it to.
Here is my conflicting codes:
<script type="text/javascript" src="scripts/prototype.js"></script>
<script type="text/javascript" src="scripts/lightbox.js"></script>
   <script>
     jQuery.noConflict();
     // Use jQuery via jQuery(...)
     jQuery(document).ready(function(){
       jQuery("div").hide();
     // Use Prototype with $(...), etc.
     $('someid').hide();
   </script>
<script type="text/javascript" src="http://jqueryjs.googlecode.com/files/jquery-1.3.1.js"></script>
<script type="text/javascript">
            jQuery(document).ready(function(){
                //To switch directions up/down and left/right just place a "-" in front of the top/left attribute
                //Caption Sliding (Partially Hidden to Visible)
                jQuery('.boxgrid.caption').hover(function(){
                    jQuery(".cover", this).stop().animate({top:'50px'},{queue:false,duration:160});
                }, function() {
                    jQuery(".cover", this).stop().animate({top:'300px'},{queue:false,duration:160});
        </script>

Answer 1

<!-- JavaScript -->
<!--<script type="text/javascript" src="scripts/prototype.js"></script>-->
<!--<script type="text/javascript" src="scripts/lightbox.js"></script>-->
<script type="text/javascript" src="scripts/mootools.js"></script>
<script type="text/javascript" src="scripts/swfobject.js"></script>
<script type="text/javascript" src="scripts/videobox.js"></script>
<!--<script type="text/javascript" src="http://jqueryjs.googlecode.com/files/jquery-1.3.1.js"></script>-->
<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.4/jquery.min.js"></script>
<script type="text/javascript" src="scripts/jquery.mousewheel-3.0.4.pack.js"></script>
    <script type="text/javascript" src="scripts/jquery.fancybox-1.3.4.pack.js"></script>
    <link rel="stylesheet" type="text/css" href="scripts/jquery.fancybox-1.3.4.css" media="screen" />
<script type="text/javascript">
    jQuery.noConflict();
</script>
<script type="text/javascript">
            jQuery(document).ready(function(){
                jQuery('.boxgrid.caption').each(function (){
                    jQuery(this).mouseenter (function(){
                        jQuery(this).find(".cover").animate({top:'50px'},{queue:false,duration:160});
                    jQuery(this).mouseleave (function(){
                        jQuery(this).find(".cover").animate({top:'150px'},{queue:false,duration:160});
                jQuery("a.external").fancybox();
</script>