prettyPhoto displays the title attribute of a link (an ‘a’ selector). If you make your links include description of the image, it will be displayed in a lightbnox.
Are you talking about adding the description into the media center title box or actually in the code of the link in the page? I have a client who is adding images and needs it as easy as possible.
If your images (attachments) are described just modify your image links to display it, instead of image titles.
And how can one show captions? I’m using prettyPhoto…
All you’d have to do is to make title attribute of image links use image captions instead of link titles. It would require some modifications in your theme I guess, but the end result should be like that:
<a href="..." title="The caption of an image"><img src="..."></a>
Getting image captions for your attachments is quite well described here: http://www.wpbeginner.com/wp-tutorials/how-to-display-wordpress-post-thumbnails-with-captions/