So I rooted my fire using Burrito Root.
The SuperUser app was available once that was complete. I got a version of Google Services Framework from http://code.google.com/p/androidmarketu/downloads/list
When I try to install the Google Services Framework, it tries to install it but then it says "Not Installed".
I have the Allow Other Applications set to ON.
I don't wish to change the stock ROM. All I need is the Google Talk application to work on the Kindle Fire.