First there is nothing dirty adding elements to the dom on the fly :-)
Secondly, you could simply add an element in the markup, for instance a <h3>
(let's be semantic (and assume you got other titles before)):
<div id="tabs">
<h3 class="ui-tab-title">My Title</h3>
<ul>
<li><a href="#tabs-1">Nunc tincidunt</a></li>
<li><a href="#tabs-2">Proin dolor</a></li>
<li><a href="#tabs-3">Aenean lacinia</a></li>
</ul>
<div id="tabs-1">
...
</div>
and position it with css:
/* float tab buttons to right */
.ui-tabs .ui-tabs-nav li { float: right !important; }
/* position:relative on container will make the title position:absolute relative to the container */
#tabs { position: relative; }
/* absolute position the title */
.ui-tab-title { position: absolute; left: 20px; top: 15px; }
Here's a jsfiddle to illustrate
Edit:
As you pointed out, floating right the <li>
inverts their order.
You could invert the order of the list items in the markup itself but this will mess up the whole logic.
Here's a piece of css to right align the tab button while keeping the markup and the visual order in place:
/* align right the <ul> container */
.ui-tabs .ui-tabs-nav { height: 2.35em; text-align: right; }
/* jquery ui css floats-left the <li> so un-float them */
.ui-tabs .ui-tabs-nav li { display: inline-block; float: none; }
I've changed the fiddle accordingly.