Hi Don,
You can have creative cloud installed and signed in on two computers, as long as you only use it on one at a time. Download and install as you did on the first computer, sign in to your Adobe account on the Adobe website using your Adobe ID, download the Cloud desktop app, then download the software. Sign out on a computer that you will not be using: sign in and sign out of the Adobe Creative Cloud desktop app
You can download the Creative Cloud desktop app from here :
Creative Cloud Help | Creative Cloud for desktop.
This document shows how you can download previous versions of Adobe Creative applications -
http://helpx.adobe.com/creative-cloud/kb/download-previous-versions-creative-applications. html
*note: If you are using a trial membership then you will not be able to download the previous versions
Pattie