I don’t think you want to center the list, per se, just move it to the right. Here’s what I came up with:
<h1 class="text-center">Jimi Hendrix</h1>
<h4 class="text-center">The man who revolutionized guitar</h4>
<img src = "http://uptownmagazine.com/files/2012/05/Jimi-Hendrix.jpg">
<div id = "myList">
<li>born Johnny Allen Hendrix; November 27, 1942 – September 18, 1970</li>
<li>Born in Seattle, Washington</li>
<p>If you would like to read more about <a href ="https://en.wikipedia.org/wiki/Jimi_Hendrix" target="_blank"> Jimi Hendrix</a>
<p>Written and coded by Steve DeYoung</p>
margin: 0 auto;
padding: 5px 20%;
This allows you to love the list a little to the right - here it assumes that you want 20% of padding on each side of the screen.
I also removed your col-xs-20 as I had no idea what it was doing. You can add it back in if you want.