Is there a way to create a custom search with a filter allowing you to search for tickets with a specific follower?

I work for a large school district and we have staff members with varying levels of computer expertise who are creating tickets for students. We regularly receive tickets where the only information concerning who the ticket is for, is by adding the student as a follower. These tickets are falling through the cracks when we look up the student and don’t see the ticket they created.

I understand the need for end-user education on ticket creating, which we have been working on, however, we do see a lot of situations where substitute staff assume the ticket creation role. 

I would greatly appreciate any advice on how others address issues like this!