Delete previous versions in Articulate Review?

Good morning Suzanne. 

This is quite a different situation. We're referring to versions specifically in Review (linked to Storyline, Rise and other Articulate products), rather than working between Review and Publish. 

If I'm understanding your question correctly, the short answer is one doesn't move a file from Review to published in the way you describe. Once shared on Review, the review link is separate from your Rise course link where you built the course (different from the 'Preview' option you have while building). To edit/publish your file you need to go back to Rise. If you need your student to make changes to the file, you need to add her as a collaborator from the 'Share' tab (just left of Review). The Rise item will the show up on her side.

Hope this helps!

J