Hello Mark,
AP does not retain the Job information and JC has only the Vendor Name in the Reference field. There is no way to link the information in the JC Costs, Billings and Payments file to the Current Vendor Transactions file.
If you have Quik History collecting the data from AP, you may be able to get this report in Quik Reports. You can create a report that links the Quik History Transactions file to the AP Current Vendor Transactions file.