Adobe has always been a leader in the web space. Their premier corporate CMS is called Adobe Experience Manager (AEM) (see http://www.adobe.com/solutions/web-experience-management.html). I'm not going to get into how to install, configure, or code for AEM. That is a subject for several training manuals the size of this book. Trust me. I am only mentioning this so you know that there is at least one major CMS player that comes with complete jQuery Mobile examples.
The training materials are centered on a fictional site called Geometrixx.
The beauty of the AEM system is that it uses a Java JCR container (see http://en.wikipedia.org/wiki/Content_repository_API_for_Java) to store content. This means that you can create mobile sites that automatically pull content from desktop pages simply by referencing the JCR content nodes of the desktop pages or by allowing users to type directly into an interface that looks like a mobile screen.