Joomla site not loading on Plesk 10.4.4, where is public dir?

[NeuroPsyche]

We had a site that was created by Plesk WPB 10.4.4
We removed the site, deleted the files in the \domain\*.* directory...
... so all that exists are the main files of the domain...
\httpdocs\ is empty...

We installed Joomla and set path on install to: http://www.domain.com/ empty...
... if we put anything in the path it'll create a folder within /httpdocs/

if we enter in: /httpdocs
Joomla will install in: http://www.domain.com/httpdocs/httpdocs/
... etc...

What is the trick to getting Joomla working and the site pulling from the correct home/index/ file..

I'm missing something and this can't be that difficult.. Please help if you know what's I'm doing wrong.