Slideshows didn’t migrate

I just moved my WordPress site to a new server, one that is a “Managed WordPress Server,” and after using the migration tool, the whole site is over on the new server – except the slideshows. When I go to “Slideshow Manager Settings,” the only one remaining is “default.” Is there a way I can export or backup the existing slideshows from the old server and move them on my own manually? I’m really hoping to avoid having to recreate all of them one slide at a time, as I have numerous slideshows with probably a total of well over a thousand slides between all of the slideshows.