OK, so I found the wp_options.stats_options column and removed the existing key (twice). This allowed me to enter the correct key.
However, the API still does not work because my fixed IP from my hosting provider is not allowed, even though my www subdomain points to it (forwards).
"Bad site URL. IPs (xx.xx.xx.xxx) are not allowed. Move to a domain and then try again."
How do I get around that? I AM on a domain. Well, actually...
I have a fixed IP because I have multiple blogs on this hosting provider with domains managed elsewhere and DNS pointed (forwarded) to the appropriate site root (a WordPress install, in this case).
Changing the wp_options.siteurl from the IP name to the www name address causes the site to loose it's theme information, keeping only the content when I visit http://www.transitionvillage.com
Currently, the IP name is in use in the SITEURL column and the themes work fine, but the plugin objects to it.
What should I do now?