@The_Algar I am afraid, it’s impossible to export the events from the widget and access the widget via API as well. I am so sorry!
We already have a request for API support in the Wishlist. You can keep an eye on it here - API support - #6 by Helga.
Also, we’ve created a new request for the event export, where we’ll keep you in the loop - Export events to a JSON or CSV file
Thanks a lot for your interest and help, it’s much appreciated 