Hello there, ScottG-6315. Glad you've posted it here.

Still, you can utilize timesheet without using payroll in QuickBooks Desktop. Just make sure the timeactivity is billable to the customer. To create a timesheet to track hours, select a Customer: Job and Service Item and click to select the Billable? column. For more details, you can check this article: Learn how to create and print timesheets.

If you're already created a bill, create an invoice and select the customer that you entered on the bill. The Billable Time/Costs pop-up window, tick the Select the outstanding billable time and costs to add to this invoice radio button.

Also, you create a report that shows the customer name associated with the timesheet:

1. Go to the Reports menu.
2. Select Time and Mileage, then Time by Name.
3. Select Customize Report tab.
4. In the Display window, add more columns to your report by selecting one or more of the display options available. Add all the information you need. 
5. Click OK to apply your selections.
6. Then, OK on the next window to save your changes.

To personalize your invoices and get the info you need, you can customize them. Feel free to use this resource for further insights: Use and Customize form templates.

If you have additional questions about QuickBooks Desktop, let me know by commenting below. I'm here to help in any way that I can.