On GitHub, I can\'t seem to figure out how I can fork a repo twice into one account.
So there is a repo from Bob/CoolFramework
I fork it to Jeremy/MyShooter
From the sound of things, you are using a framework within a game you are creating. If you are just using the framework and not changing it, create a new project for your game and include the framework project within it as a sub-module.
Assuming you are not modifying the framework, you should not be forking it. Forking a project is for modifying (often with the intent of submitting your fork to be merged back into the source project).