That's what my accountant had suggested.  But I checked that, and it looks correct to me….maybe you can see what’s wrong.  
In the Item List (see “Item List” screenshot) I use the Item Name I made called “music consulting,” which covers just about everything I do in the studio.  As you can see, the Account this item is attached to is “Engineer, Consultant.”   If I get paid by a client that I did NOT invoice, their deposit shows up in a Downloaded Transaction from my Bank, and when I match it and enter each transaction’s details to my QB bank account, “Engineer, Consultant” is the Account I use for any recording client (see “Recording Client Bank Account Entry” screenshot).  This works fine for everything but payments from Invoices.  
When an Invoice is paid, it gets recorded into A/R, where there appears to be nothing in the “Item” field (see “Acc Rec.” screenshot). And if I double-click on it to edit it, it simply opens the Invoice, which has “music consulting” listed in the Item field (see “Invoice Example” screenshot).
So I don’t understand what A/R needs to see that I’m not already telling it.
btw, hanks for the quick response, SkinnyRaven.  
(attached the files to the initial post as I couldn't see a way to attach them to this comment.)