Hello there, dkinser-solidlig.

When creating a purchase order, we can enter the customer's name, but it'll not include when printing the PO. Instead of adding the customer's name in the Customer field, we can input the client/project in the Your message to the vendor as a workaround. Here are the sample screenshots:

You may want to visit our blog website to check our product enhancements. Then, here are some articles where you can get additional details about managing purchase order (PO) in QuickBooks Online:

• Find out how purchase order works for your business. 
• Copy an estimate to a purchase order. 
• Bill created from purchase order has an incorrect or higher amount. 

Let me know if you have other questions. Take care and have a good one!