Kyle, thanks to you and Danny for your responses.  One extra piece of information is that I'm a third-party vendor in this scenario.  As a result, I don't believe I have access to the Portal to turn on Auditing.  I did enable ODBC logging, but that didn't reveal any additional information.

In the meantime, I decided to switch back to the ADO .NET driver.  We were able to work through an unrelated issue there, so we're thinking we might just use that and back-burner ODBC.