Post image in WordPress not appearing on home page

You are almost there you just need to call it inside your theme file
say in your index.php
inside the loop somewhere between

<?php while ( have_posts() ) : the_post(); ?>
 ///
 ///
<?php endwhile; // End the loop. ?>

you need to add a call for that image using get_post_meta()
like this:

<?php while ( have_posts() ) : the_post(); ?>
   $img_src = get_post_meta($post->ID, 'paddimage-gallery', true);
   if (isset($img_src){
     echo '<img src="https://wordpress.stackexchange.com/questions/9169/. $img_src .">';
   }
   ///
<?php endwhile; // End the loop. ?>

Hope this Helps.