I would have to imagine they did at some time since they were both in that area for a very very long time.
Here's a funny story I heard about George and Fats (Disclaimer: I have no idea if it's true as it wasn't George who told me.) So back in the day George was playing at a room in Springfield, Ohio and Fats comes in and asks if anyone wants to gamble. George agreed but Fats apparently snapped back with the accusation that George didn't have enough money to gamble with him. So, George told him to hold on a couple of minutes. He runs next door and gets a wad of cash from a bookie, comes back, and asks Fats if it's enough. They agree to play 9 ball (no idea of the bet.) George wins the break, makes a ball, starts to run out, and looks over at Fats. Fats is calmly and deliberately pulling his cue out of his case. George runs the rack, breaks again, and starts to run out again. He looks over at Fats to see him screwing his cue together. George runs out again. George breaks and starts yet another runout when, you guessed it, he looks over at Fats. The Fat Man is ever so delicately chalking his tip. George runs out again. Another break and run starts for George who now sees Fats unscrewing his cue and putting it back in its case.
They broke the mold when the made George. I've never known anyone like him and probably never will. The guy was witty and sharp at an age where most people can't remember what happened that morning. Also, it was super common to see he come waltzing in around 11:45 at night after driving himself there. Mind you, he was probably 90 at that time.