Hi, @userhudthudson.

I can share with you the steps on how to add the customer/job's name to your expenses report.

When creating your expenses, I would recommend adding the customer/job under the Memo field. When running a report for your expenses, add the Memo/Description column from the small gear icon.

I've added these screenshots for your visual references.

I can see that adding the customer/job names automatically is a great addition to the QuickBooks reports. I'm taking note of this information and pass it along to our product developers. This way, they'll be aware of the feature needed and consider this in one of the coming updates. 
 

To stay current with the latest QuickBooks news and feature enhancements, I recommend visiting our blog. Here's the link: The QuickBooks Blog.

Moreover, you can also open the details from this link for additional resources when running and customizing reports: Run reports in QuickBooks Online.

If you have any other questions about running reports for your billable expenses, please feel free to add a comment below. I'm more than happy to help. Have a good one!