UPDATE: Located a great little application file to hide the cursor. I found two versions, for your mouse hiding pleasure:
Both are EXTREMELY light-weight and are applications, so not installed on your machine.
(100% stand alone with .ini file for settings) (32bit)
(few more options and requires two registry keys for settings) (32/64bit)
This application is designed to be run with launch of Windows, so requires Process, Close, to shut it down when done. I opted for option #1, because I prefer to have it that much more light-weight and the additional features of option #2 are not beneficial for my needs.
I would still like an answer to my OP, if there is an AHK script to hide cursor, but this is a great option