Troubleshooting Page Templatein TwentyTwelve Child

I have a Twenty Twelve child theme that I’ve created. I am trying to make a custom page template for the home page that uses its own right-hand sidebar.

The trouble is, when I pull the custom page template together with the new sidebar, the sidebar is not showing when that template is applied to the page. I cannot figure out what I’m doing wrong. I never had trouble creating custom templates in Twenty Ten. What am I doing wrong with this Twenty Twelve child theme?

I created the new widget area in the child functions php. It works, I’ve added a couple of widgets to it.

Using the 2012 pages as reference, I’ve created page-library.php and sidebar-library.php. I’ve tried placing them in the page-templates directory and I’ve tried placing the in the theme root directory.

Here’s the sidebar-library.php. I’ve double checked and triple checked – the new widget area I’ve created for this custom page is sidebar-4.

<?php
/**
 * The sidebar containing the custom home page widget area.
 *
 * @package WordPress
 * @subpackage Twenty_Twelve
 * @since Twenty Twelve 1.0
 */
?>

	<?php if ( is_active_sidebar( 'sidebar-4' ) ) : ?>
		<div id="secondary" class="widget-area" role="complementary">
			<?php dynamic_sidebar( 'sidebar-4' ); ?>
		</div><!-- #secondary -->
	<?php endif; ?>

Here’s the code for the page-library.php:

<?php
/**
 * Template Name: Library Home Page Template
 *
 * @package WordPress
 * @subpackage Twenty_Twelve
 * @since Twenty Twelve 1.0
 */

get_header(); ?>

	<div id="primary" class="site-content">
		<div id="content" role="main">

			<?php while ( have_posts() ) : the_post(); ?>
				<?php get_template_part( 'content', 'page' ); ?>
				<?php comments_template( '', true ); ?>
			<?php endwhile; // end of the loop. ?>

		</div><!-- #content -->
	</div><!-- #primary -->

<?php get_sidebar(library); ?>
<?php get_footer(); ?>

I have gone to my site home page and applied the “library” template to the page.

Please clue me in to what I’m missing, please!