It's possible with the Desktop version, mvrock66.

You can set up each DBA as a class. And, the same as what @Malcolm Ziman suggested, set up each class with the DBA's name. When you choose the class, it will show on the invoice.

First, let's turn on the feature. Here's how:

1. Click the Edit menu, then choose Preferences.
2. Click Accounting, then go to the Company Preferences tab.
3. Under CLASS, put a check mark in the Use class tracking for transactions box.
4. Click OK.

Then, set up the DBA as a class. Here's how:

1. Click the Lists menu, then go to Class List.
2. Click Class, then choose New.
3. Enter the DBA name, then click OK.

Lastly, when you create an invoice, just click the CLASS drop-down arrow, then choose any DBA. You can check the screenshot below.

If you have other questions, just drop any comment. Have a great day!