I found it!
gallery-caption.php template is located here:
/wp-content/plugins/nextgen-gallery/products/photocrati_nextgen/modules/ngglegacy/view/gallery-caption.php
Thanks for the info, shauno! I’ve got it working on the default template as you outline. Any idea of the file location I should edit to do the same for the gallery-caption.php template? This new file architecture is a labyrinth.