As I investigated the issue further, I found the problem was connected to the div holding the slides would always start with an area of 0 pixels. Most of the time, that div would resize automatically (pushing the other div down) but, on rare occasions, the block would stay 0 pixels causing and the image would overlap.
To solve this, I tossed in a redraw function I found on Coderwall as part of some JS to, well, redraw the slideshow area on document ready.