Have reinstalled WordPress and am running a single site without any problems. I can log in and out without any difficulty.
However, upon rechecking that my subdomains are indeed working as expected I have found another issue. I have not changed the vhosts settings since the first time I tried it and it seemed to work. Now however instead of displaying the index.html of the directories the subdomains are mapped to they all display the front page of my blog.
This is an example of the settings I have in the vhosts.conf which has not changed since I first got it working:
<VirtualHost *:80>
ServerAdmin postmaster@eve.localhost
DocumentRoot "C:/xampp/xampp/htdocs/"
ServerName eve.localhost
ServerAlias www.eve.localhost
ErrorLog "logs/eve.localhost-error.log"
CustomLog "logs/eve.localhost-access.log" combined
<Directory "C:/xampp/xampp/htdocs/">
AllowOverride All
Allow from All
</Directory>
</VirtualHost>
As to manually removing the cookies. I can't find any indication of how to do this with chrome. Every page I look at simply says "open the options dialogue and push the button." The only reference to cookies for Chrome that I can find is in the C:\Documents and Settings\Owner\Local Settings\Application Data\Google\Chrome\User Data\Default folder and its just a single file there is no indication that the cookies are stored individually anywhere. IE and Firefox are set to delete their cookies upon shutdown as I only use them for testing. I have ensured that this is in fact happening.
I have not attempted to install the network again, I'm going to try and figure out the subdomains problem first and ensure that it is working as it should before I do.