Now, you would also be interested in knowing that I have been unable to find any sources mentioning the actual use of two-handed swords by knights on horseback. Being a fourth year history major, with a finished BA in that very same subject, I have access to some pretty wide ranging sources through various databases, and thus my research, while not particularly thorough, is much more reliable than typing in "two-handed swords horseback" in google. Which, by the way, pretty much only yields results about Mount and Blade: Warband.