look for anything that looks like and remove it:

<?php if (! $stats) 
	{ ?>
	
	<div class="bSideItem">
		<h3><?php echo T_('Recent Referers') ?></h3>
			<?php refererList(5,'global',0,0,'no','',($blog>1)?$blog:''); ?>
	  	<ul>
				<?php while($row_stats = mysql_fetch_array($res_stats)){  ?>
					<li><a href="<?php stats_referer() ?>"><?php stats_basedomain() ?></a></li>
				<?php } // End stat loop ?>
				<li><a href="<?php bloginfo('blogstatsurl') ?>"><?php echo T_('more...') ?></a></li>
			</ul>
		<br />
		<h3><?php echo T_('Top Referers') ?></h3>
			<?php refererList(5,'global',0,0,'no','baseDomain',($blog>1)?$blog:''); ?>
	   	<ul>
				<?php while($row_stats = mysql_fetch_array($res_stats)){  ?>
					<li><a href="<?php stats_referer() ?>"><?php stats_basedomain() ?></a></li>
				<?php } // End stat loop ?>
				<li><a href="<?php bloginfo('blogstatsurl') ?>"><?php echo T_('more...') ?></a></li>
			</ul>
	</div>

	<?php } ?>

look for this part :

<?php // ---------------- START OF INCLUDES FOR LAST COMMENTS, STATS ETC. ----------------
	switch( $disp )
	{
		case 'comments':
			// this includes the last comments if requested:
			require( dirname(__FILE__).'/_lastcomments.php' );
			break;

		case 'stats':
			// this includes the statistics if requested:
			require( dirname(__FILE__).'/_stats.php');
			break;
		
		case 'arcdir':
			// this includes the archive directory if requested
			require( dirname(__FILE__).'/_arcdir.php');
			break;

		case 'profile':
			// this includes the profile form if requested
			require( dirname(__FILE__).'/_profile.php');
			break;
	}
// ------------------- END OF INCLUDES FOR LAST COMMENTS, STATS ETC. ------------------- ?>

and remove this part

case 'stats':
			// this includes the statistics if requested:
			require( dirname(__FILE__).'/_stats.php');
			break;

thats a start.

Oh,thank you so,so much!

I can't tell you what a relief that will be! WOW! what a complete nightmare those referrers are!

I did it-the referrers are still listed (the old ones,I mean-those that are legitimate).However,I have just tried clicking a link from one of our domains that's linked to the Blog-no referrer appeared on the Blog.

Can't thank you enough-just wanted to let you know peace reigns once again.

Happy International Womens' Day!