Hi Don,
Thanks for the interest in our plugins.
I have an answer to your question below.
I need to know simply if I can display a calendar (not an event list) with just one category showing.
We do have a built in feature to show the Calendar or any other views by the Category.
The urls would look something like this for Barbecue or Concert as a sample Event Category.
http://yousite.com/events/category/barbecue/
http://yousite.com/events/category/concert/
They will always start with the default master calendar slug in most cases that is /events/
We do not have an option to have a calender on a slug different default master calendar slug.
So you could do something like this:
Master Calendar:
http://yousite.com/events/
Location 1
http://yousite.com/events/category/location-1/
Location 2
http://yousite.com/events/category/location-2/
You can try this out the Core Version of The Events Calendar found on WordPress.org
Does that answer your question?