No problem.
mid-top is an anchor that exists on your page. by adding a reference to it at the end of the url you are linking directly to that section of the page.
The problem we have is that your links are being generated in the sidebar by a recent-posts widget.
This code should replicate the widget fairly well – you might need to adjust the styling on your end, but I tried to match it up as best I could:
<aside id="custom-recent-posts" class="widget">
<h1 class="widget-title">Recent Posts</h1>
<ul>
<?php
$postslist = get_posts('numberposts=5');
foreach ($postslist as $post) {
setup_postdata($post); ?>
<li><a href="<?php the_permalink(); ?>#mid-top"><?php the_title(); ?></a></li>
<?php } ?>
</ul>
</aside>
That should give you a list of five links with the #mid-top anchor appended to them.
Add it your child theme’s sidebar.php file. this block goes immediately between these two lines:
<div id="secondary" class="widget-area">
and
<?php if ( is_active_sidebar( 'sidebar-1' ) ) :
Note: placing it here means your new custom widget will always appear, even if you remove all of the other widgets – which would normally disable the sidebar.
You can place it inside the conditional, just make sure you open and close the php tags properly ??
