@mikaelthearchangel It’s been a while since I have gotten this question, I used to get people asking all the time. I am always happy to oblige, but it’s a bit difficult to go into using the tumblr reply function, so I decided to do it as a separate post.
First, I absolutely, 100% recommend The Red Goddess by Peter Grey. It is the best complete source on the Red Goddess.
As far as my own personal take. The short form can be found on my original Scroll of Thoth Blog.
There is also the much lengthier Babalon Current in Modern Magick, which you can listen to as a podcast. Or download the text version here.
Also, a search for Babalon (not Babylon) will bring up innumerable sources.
Sorry to just give you a bunch of links. I will probably write more about her someday. But there has been so much ink spilled on Her, that I would really have to come up with some new perspectives.