Unable to "star" some whiteboards

This issue is plaguing my firm.  We are unable to "star" some whiteboards that that we have been sent in a URL.  I believe my access is granted through the "General Access" as follows "Only users in account [Our company]" Can Edit.  If my name doesn't explicitly appear in the Share list, the Star option does not exist for that whiteboard.

Is there a global configuration item I need to get changed?