For some reason, taxonomy maps are working now!
The only thing I’ve changed is the shortcode, no change to theme or plugins.
Anyhow, thanks for holding my hand through this; and consider this resolved.
Til next time I mess things up.
Thanks to you the taxonomy listings work great.
Now, what if I want to list by the field “state” in the custom post type?
Entering this in the browser gives results from various states: http://domain/church/?state=GA
(Eventually, I will want to list by both the field “state” and a custom taxonomy.)