Hi, Richard. Thanks for getting in touch.
It’s funny, but there’s another user asking about just the same thing in another thread, so obviously, you’re not the only one interested in this functionality: https://theeventscalendar.com/support/forums/topic/add-timezone-to-event-listings/#post-65922
For now, I’m afraid that we don’t have anything implemented that would accommodate Time Zones, and it’s outside the scope of what we can help with in the support forums. It would be great if you would check out our User Voice Forum at http://tribe.uservoice.com/ and suggest it there.
Sorry that I couldn’t be of more help.