Index: wp-includes/default-widgets.php
===================================================================
--- wp-includes/default-widgets.php	(revision 18666)
+++ wp-includes/default-widgets.php	(working copy)
@@ -225,12 +225,18 @@
 		$title = apply_filters('widget_title', empty($instance['title']) ? __('Archives') : $instance['title'], $instance, $this->id_base);
 
 		echo $before_widget;
-		if ( $title )
-			echo $before_title . $title . $after_title;
-
+		if ( $title ) {
+			echo $before_title;
+			if ( $d ) {
+				echo '<label for="' . $this->id_base . '-dropdown-' . $this->number . '">' . $title . '</label>';
+			} else {
+				echo $title;
+			}
+			echo $after_title;
+		}
 		if ( $d ) {
 ?>
-		<select name="archive-dropdown" onchange='document.location.href=this.options[this.selectedIndex].value;'> <option value=""><?php echo esc_attr(__('Select Month')); ?></option> <?php wp_get_archives(apply_filters('widget_archives_dropdown_args', array('type' => 'monthly', 'format' => 'option', 'show_post_count' => $c))); ?> </select>
+		<select id="<?php echo $this->id_base . '-dropdown-' . $this->number; ?>" name="archive-dropdown" onchange='document.location.href=this.options[this.selectedIndex].value;'> <option value=""><?php echo esc_attr(__('Select Month')); ?></option> <?php wp_get_archives(apply_filters('widget_archives_dropdown_args', array('type' => 'monthly', 'format' => 'option', 'show_post_count' => $c))); ?> </select>
 <?php
 		} else {
 ?>
@@ -431,19 +437,27 @@
 		$d = $instance['dropdown'] ? '1' : '0';
 
 		echo $before_widget;
-		if ( $title )
-			echo $before_title . $title . $after_title;
+		if ( $title ) {
+			echo $before_title;
+			if ( $d ) {
+				echo '<label for="' . $this->id_base . '-dropdown-' . $this->number . '">' . $title . '</label>';
+			} else {
+				echo $title;
+			}
+			echo $after_title;
+		}
 
 		$cat_args = array('orderby' => 'name', 'show_count' => $c, 'hierarchical' => $h);
 
 		if ( $d ) {
 			$cat_args['show_option_none'] = __('Select Category');
+			$cat_args['id'] = $this->id_base . '-dropdown-' . $this->number;
 			wp_dropdown_categories(apply_filters('widget_categories_dropdown_args', $cat_args));
 ?>
 
 <script type='text/javascript'>
 /* <![CDATA[ */
-	var dropdown = document.getElementById("cat");
+	var dropdown = document.getElementById("<?php echo $this->id_base . '-dropdown-' . $this->number; ?>");
 	function onCatChange() {
 		if ( dropdown.options[dropdown.selectedIndex].value > 0 ) {
 			location.href = "<?php echo home_url(); ?>/?cat="+dropdown.options[dropdown.selectedIndex].value;
