There are no configuration options for controlling the display of caption text in neither the 1.x or 2.x branches of Flexslider. As it's needed for a project we're currently working on, I've created a simple patch to add this feature. It's a quick and dirty but hopefully this should get the ball rolling.
Other potential features to add:
- Allow the use of text from a field on the node or from a field collection to be used instead of 'title' and 'alt' text from the image.
- Additional options for defining the containers and selectors around the caption text.
- Add option for 'Custom' text which would provide a consistent caption on images in the slideshow.