The Bright Plugin is generating a “cannot resolve host:” error

Our WordPress server is generating a message like:

connecting to the bright server: "Could not resolve host:".
Please refresh the current page to try again orcontact us at Bright Support with the following information (below) if the problem persists.
User Agent: Mozilla/5.0 (Windows NT 6.1; WOW64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/56.0.2924.87 Safari/537.36
User Host: xxxxxxxx.xxxx
Request URI: /wp-admin/edit.php
Bright URL:
Error: Could not resolve host:

Could not resolve host is a message generated by the curl package that the Bright plugin for WordPress uses to connect to Bright.
This message means that the DNS [domain name servers] configured for your host failed to respond with an IP address for the configured Bright server.

If the problem persists, you should contact your DNS service provider [potentially your ISP].

You might also consider using Google Public DNS:

Google Public DNS