Hey Phil,
Technically you should be able to do what you propose with Bible Study as it is now - I think both 6.2.4 and 7.0.x.
When making a media file entry, there is a box for Popup Title Elements and Popup Footer elements. In those boxes you can use any of the tags we have made available. You can hover over the title of the field to see some examples - but they include {{title}} {{teacher}}, etc.
You can look here for a list of the codes:
Play around with it and if you would like to make suggestions for how to improve this, let us know.
Tom