Here a solution that might help some people and how I got all 4 Fibbage achievements in one game. Firstly I come from a household of Phones and Tablets, no laptops or computers, so here is what I did.
Using a Android device I downloaded these apps from the Google Play Store
Google Chrome
Firefox Browser
Web Browser and Explorer
You should already have a native Internet Explorer on the device.
I then pinned all 4 apps to the home screen for easy access.
Firstly go into each Browser and Log into the room as a different name. Example
Jack1
Jack2
Jack3
Jack4
Once in, start the game up. Now on the first Question have Jack1 type something easy to spot. Example
"Hello"
It Doesnt matter if you let the other 3 time out. Now when it comes to picking a answer. Have Jack2, Jack3, and Jack4 choose "Hello"
This will unlock you: Fibbage XL: Politician
Then onto Question 2 have Jack1 and Jack2 type the same answer as each other. Again for example
"Hello"
This will unlock you: Fibbage XL: Copycatfishers
Finally onto Question 3. Open up a different tab on Internet Explorer and quickly Google some key words out of the following question to find the correct answer. Then Have Jack1 type in this correct answer
This will unlock Fibbage XL: Don't Know What To Believe...
Again it doesnt matter if all 4 time out the Lie part of the question. When it comes to picking the answer. Jump between Jack1, Jack2, Jack3, and Jack4 and all pick the truth
This will unlock: Fibbage XL: Truth Fairies
You might be able just to open 4 tabs within the same browser and do it that way but I kept having the problem where one Jack would get logged out of the game and then it wouldn't let me back in time or back in completely.
Hope this helps someone out. Thanks