Yeah, I hate how I have to hang onto my original sucky sword. Even if it sold for zero, why can't I get rid of it?
You can equip another sword/weapon (I reckon you know that) so other than a 'housekeeping' thing, is there a problem I'm missing with just ignoring the original weapon?
In one game I found a very nice sword -- Lifesap, 10 attack, 0 combat speed. Can't remember if it was from a quest or from killing a relatively strong mob. It made fighting fun!