I don't mean to be a jerk, but I'd question your readings here. 1.050 sounds about right for an OG. 1.020 is a little high for an SG, you may have had a stuck ferment. But there is no way it went up from 1.020 to 1.120 (perhaps you mean 1.012?). It's just a guess but I'd say your hydrometer might be getting stuck along the side of the test tube.
Also, there is also no reason to have checked the gravity after 2 hours in the carboy. Once you rack to secondary most fermentation is going to stop. You may rouse the yeast a bit and drop a couple more points, but that'll be it. In general you should wait until fermentation is complete before racking to a clearing tank. If you do have a stuck ferment, the best thing to do is rouse the yeast in the primary and given them more time to work rather than racking early.