How to save input data in form for multiple users?

After much sweat, I have finally figured out how to get my form to save data so that I can return to it. Is there a way to do this with multiple forms. In other words, can I fill out Form A for Customer H, save it, and then fill out the same form (Form A) for Customer Z without confusing the data?

I was thinking that I would do this by creating a "form ID," which would make each form unique. However, that doesn't seem to be working well.

If I understand your question correctly, you want to save input data in your form so that you can come back and submit form again. 

Yes it is possible to achieve your requirement. You may like to take a look at the following guide which should help you:  https://www.jotform.com/help/97-How-to-Save-Forms-and-Continue-Later

User can save the input data in session that is stored in our server. Please be noted that this feature requires two forms and the main form should have the "Page Break" field. The data is saved in session only on the click of the next button.

Hope this helps. Do try it out and get back to us if you have any trouble.