Small changes can sometimes work wonders. If you use the library and use a lot of pictures in the posts, the following small link in the library will surely help you. Thus, images can be easily reused. A link will be created so you can access the image directly and there is no need to upload the image again to your new post. Further information can be found in this post.

A similar solution is the Plugin Post2Media, which provides a link within the Thickbox to the attachments.
The following code should be used as a Plugin; alternative you can use the functions.php of your theme.

function upload_columns($columns) {
	unset($columns['parent']);
	$columns['better_parent'] = __( 'Parent' );
	return $columns;
}

function media_custom_columns($column_name, $id) {
	$post = get_post($id);
	
	if ( $column_name != 'better_parent' )
		return;
	
	if ( $post->post_parent > 0 ) {
		if ( get_post($post->post_parent) )
			$title = _draft_or_post_title($post->post_parent);
		?>
		<strong>
			<a href="<?php echo get_edit_post_link( $post->post_parent ); ?>"><?php echo $title ?></a>
		</strong>, <?php echo get_the_time( get_option('date_format') ); ?>
		<br />
		<a class="hide-if-no-js" onclick="findPosts.open('media[]','<?php echo $post->ID ?>');return false;" href="#the-list"><?php _e( 'Re-', 'textdomain' ); _e('Attach'); ?></a>
		<?php
	} else {
		_e( '(Unattached)' ); ?>
		<br />
		<a class="hide-if-no-js" onclick="findPosts.open('media[]','<?php echo $post->ID ?>');return false;" href="#the-list"><?php _e('Attach'); ?></a>
	<?php
	}
}
add_filter( 'manage_upload_columns', 'upload_columns' );
add_action( 'manage_media_custom_column' , 'media_custom_columns', 0, 2 );