Hi @Terry St Jean
There seems to be no way to find the database name and server name of a report directly through the web service URL. But if your data source has been published, you can access the data source using the rs:Command=GetDataSourceContents parameter.
For example:
For information about SSRS URL access, you can refer to this document: https://learn.microsoft.com/en-us/sql/reporting-services/access-report-server-items-using-url-access?view=sql-server-ver16.
Best regards,
Aniya