When I look mat your source code, I see:
<a href="/index.html">Home</a>
The opening forward slash followed by 'index.html' ensures that your browser is made to look for index.html in your site's root directory.
You could use either:
<a href="index.html">Home</a>
or
<a href="/lynchdemo/index.html">Home</a>
or the full remote filepath (to be sure).
Of the first two, above, the second would be preferable, as the path would be correct from anywhere in your site.