Hello @MichelleKistler ...
When students submit work to you via Canvas Assignments, attachments *do not* count towards their quota of available storage space. This should not be an issue for your students whatsoever. This is detailed in the light blue box at the top of this student Canvas Guide:
As shown in this Guide:
...there would be a "Submissions" folder within one's user files (you may also have this as well). That folder has a small padlock icon on it...indicating that files cannot be deleted from that folder. If a student were to look at the contents of that folder, he/she would see additional locked folders containing files that were submitted for assignments in the course.
I wonder if students are attaching files to the comments portion of the assignment? For example, if you have an assignment where you are asking students to first submit a draft to you and then later on a final version of the same product, students may be first submitting the draft file to you using the instructions in the first link I provided. That file would not count against a student's file limit. However, if the student were later submitting the file as a final product to the same assignment but by using the "Attach File" link (near the "Media Comment" link) as shown in the section on "Add Comments" described in:
...then I can see where a student may quickly run out of storage space. Attaching files as comments to an already existing submission would count against the file storage limit.
This is all a lot of speculation on my part, but I wanted to throw this possibility out there in case any of your students might have been trying to re-submit work in this way.
I hope this might help in some way. Keep us posted...thanks!