How to print reports in submitted order using .NET

Our VB WinForms application prints a series reports using the standard PrintDocument object, some with multiple pages. My client has pointed out the the hard copy reports are not printed in the correct order. When I debug the code, I can verify the reports are generated in the correct order, but when I inspect the print queue the reports are not displayed in the order they were submitted. When I sort the queue by Submitted (date-time), the correct order of reports is shown.

Is there a way to set the print queue from VB.NET so that multiple reports are queued and printed in date-time order? Or am I fishing in the wrong hole?

TIA

Turn off print spooling on the printer, so the application prints directly to the printer. This is on the advanced tab of the printer properties.