You are correct. msdb..backupmediafamily is exactly what I was looking for.
Now I'm a little confused, though.
In the backupmediafamily table on my production server, I see a row for each of the backup files. SSMS, job History shows one execution of the job.
On the old server in, SSMS when I vew job history, I can see that the backup job ran at the same time as on the production server, but there are no rows in backupmediafamily for that database at that time.
Did the scheduled job on the old server kick off the SSIS job on the production server? (This 'old' server was the production server and had the same name when the snapshot of the virtual server was made.)
If both jobs ran on my production server, can I be sure that the two .bak files are of the same (production) database?
Thanks in advance,