JSFiddle - React, Tailwind, and code Playground
HTML
<ul>
<li id="pic_0">
<img src="http://localhost/wpff/wp-content/themes/twentyeleven/images/family/small/012_family-portrait_people_sea.jpg" name="012_family-portrait_people_sea.jpg" data-horz="y">
</li>
<li id="pic_1">
<img src="http://localhost/wpff/wp-content/themes/twentyeleven/images/family/small/011_family-portrait_people_sea.jpg" name="011_family-portrait_people_sea.jpg" data-horz="y">
</li>
<li id="pic_2">
<img src="http://localhost/wpff/wp-content/themes/twentyeleven/images/family/small/010_family-portrait_mother-son_sea.jpg" name="010_family-portrait_mother-son_sea.jpg" data-horz="y">
</li>
</ul>
JavaScript
var Bigpic = "012_family-portrait_people_sea.jpg";
var horz = $('[name="'+Bigpic + '"]').data('horz');
alert(horz);