"Miller, sorry for the delay in responding to your questions, but I've been working a ridiculous number of hours the last few weeks. I too have heard of 12 ga. guns being built on the XX frame, but have never seen one".
For whatever it's worth, I did once own a 12-bore Lefever with the "XX" stamp on the frame. The gun was a G Grade extractor model with original (according to Buck Hamlin) 26" Damascus barrels, double triggers, and capped pistol grip stock with Lefever logo butt plate. The serial number was just under 19000; and although it featured the late large cocking hook mechanism, the gun was originally designed for an another cocking system as the frame featured what remained of the original joint check pin (pin heads visible on each side of frame but center section in frame milled away). The stock on this gun was of a much higher grade walnut than the typical "G"; and featured modern dimensions. I don't recall its weight, but it was very light; and I hunted with the gun quite a bit for a couple of years before Hal Jacques convinced me to sell him the gun. Hal sent the gun to Buck Hamlin for restoration (finishes only, balance of gun was excellent inside and out). I saw the gun afterwards and Buck had done his usual great job. Hal passed away a few years ago from cancer, and I believe he'd sold most of is Lefever collection prior to his passing. I've no idea who may own this gun now, but it is a very interesting piece; hopefully you'll remember this description and run across it some day.