In second edition AD&D,
The only weapons I can find that are explicitly stated to be two-handed weapons are a two-handed sword and a (two handed) bastard sword, which can also be used one-handed.
But every other weapon that I can see doesn't specify.
What about a Battle Axe or a War hammer? They sound like they could be used two-handed. And if not, are there no other two-handed weapons in existence?