Hello claghorn,
That is an interesting request and I think it would be possible with a little custom coding.
If you follow our Themer’s Guide:
https://theeventscalendar.com/support/documentation/events-calendar-themers-guide/
It will help you get the correct file to edit for the widget. If you have a specific questions about this customization we can gladly answer them, but for the most part this is beyond the support we can provide on the forum.
Let me know if you would like some help though on the first step.
Thanks