modifying title (in dashboard) for different widget instances

I believe if you add ‘title’ field to the form() (and update()) method this will be displayed in the admin interface. Traditionally this would also be used in the widget() method, but is not required.

    function update( $new_instance, $old_instance ) {
        $instance = $old_instance;
        $instance['title'] = strip_tags($new_instance['title']);
        return $instance;
    }

    function form( $instance ) {
        $instance = wp_parse_args( (array) $instance, array( 'title' => '' ) );
        $title = strip_tags($instance['title']);
        ?><p><label for="<?php echo $this->get_field_id('title'); ?>"><?php _e('Title:'); ?></label> <input class="widefat" id="<?php echo $this->get_field_id('title'); ?>" name="<?php echo $this->get_field_name('title'); ?>" type="text" value="<?php echo esc_attr($title); ?>" /></p><?php
    }