Augeas,
That has no effect. What I have since learned the cookie name is _cfdiud. I can go to (in Firefox) Tools > Options> Privacy > Show Cookies and expand the notdoppler.com cookies to reveal that it'sname is _cfduid (see screenshot below)
Also, from cloudflare's website I learn that the _cfduid cookie cannot be turned off
http://bit.ly/1E52HGl
What does the CloudFlare cfduid cookie do? Damon May 20, 2014 14:30
The __cfduid cookie is used to override any security restrictions based on the IP address the visitor is coming from. For example, if the visitor is in a coffee shop where there are a bunch of infected machines, but the visitor's machine is known trusted, then the cookie can override the security setting. It does not correspond to any userid in the web application, nor does the cookie store any personally identifiable information.
Note: This cookie is strictly necessary for site security operations and can't be turned off.
What's strange about this is I have an identical laptop that is pretty much set up the same way (same OS, browsers, applications) and on it I can visit notdoppler.com and I am able to delete the cookie with it not reappearing again when I clean it with CC then close CC then open CC again to see if it shows up again.
Again, to all who have chimed in, thank you for your efforts in helping me figure this out.
Andavari, this has been going on for almost 5 years. If it is incorrectly detecting the cookie I certainly hope it gets tired of doing that!