It's handy stuff if you can find the refresh dates of a database. All details are inside db server and it's a matter of finding the correct query.
Below query will help to get the required information on refresh/ db restoration
SELECT [rs].[destination_database_name],
[rs].[restore_date],
[bs].[backup_start_date],
[bs].[backup_finish_date],
[bs].[database_name] as [source_database_name],
[bmf].[physical_device_name] as [backup_file_used_for_restore]
FROM msdb..restorehistory rs
INNER JOIN msdb..backupset bs
ON [rs].[backup_set_id] = [bs].[backup_set_id]
INNER JOIN msdb..backupmediafamily bmf
ON [bs].[media_set_id] = [bmf].[media_set_id]
ORDER BY [rs].[restore_date] DESC