I've recently read a couple of references to two-handed swords being used as early as the 11th century by Swabians (not Swadians) in the service of the Holy Roman Emperor. Their most notable appearance seems to have been at the battle of Civitate in 1053, where they did quite well against the Norman cavalry.
Update: The Chivalry Total War mod has Swabian units pictured in the link below, but I have no idea whether they based the blades on contemporary illustrations or archeological evidence, or if it's just an educated guess.
http://img316.imageshack.us/my.php?image=swabians0sp.jpg
Update: The Chivalry Total War mod has Swabian units pictured in the link below, but I have no idea whether they based the blades on contemporary illustrations or archeological evidence, or if it's just an educated guess.
http://img316.imageshack.us/my.php?image=swabians0sp.jpg