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The sword says it causes D3 wounds for each unsaved wound (so after the wounds armor and ward are failed.)
With a. Normal fight, can this mean it kills between 1 and 3 rather then (assuming they're 1 wound characters.)
By normal fight I mean not a challenge. as in, one regiment vs the other?
Or cause multiple wounds against models with more then one wound? (case and point: ogres)

Hmm... took me a while to get what you meant.

It only causes D3 wounds on the target wounded model, not D3 wounds to the unit, so it'd only really work against multiple wound models.

So say I had a hero with 3 attacks with the Sword of Heroes. Say I get two wounds against regular infantry, no multi-wound models in the unit. I'd only kill 2 models in the unit.

Now if I was facing Ogres, Kroxigors, or anything with multiple wounds, if I got two wounds, THEN they'd take D3.

Yup a model can never suffer more wounds than it has on its profyle. The rules for multyple wouds weapons vs multiwound models are of the highest omplexity in WHFB.

I will try to explain in steps, with Ogres being the example.
1. Roll to hit wound and save.
2. Multiply each unsaved wound, to a maximum of 3 as that is the limit for ogres. Note that even an already wounded ogre can suffer up to 3 mulywounds.
3. Calculate the total of wounds lost by the unit and remove the appropriate amount of casualties. Basically the wounds previously suffered by models, magically become wounds for the unit at this point.

Ya, Cryon and Hover have it right.

To further what Hover has said, lets say your model with the sword of heroes attacks a unit of Ogres. He hits 3 times, and wounds 3 times.

If the ogres all fail their saves, then you are doing D3 wounds to each model hit. Lets say you do 2 wounds to Ogre A, 2 wounds to Ogre B, and 1 wound to Ogre C.

What would happen next is the Ogre unit totals up all the wounds (5) removes one model (3 wounds) and puts 2 wounds onto another model.

Basically the Sword of Heroes is useful against mutli-wound models or, you guessed it, Heroes (and lords).

And monsters.

So, this sword attacks three different targets [assuming I ahve three attacks.] if model A has 1 wound, B has 2 and C 3 [for whatever reason] A it causes 1 wound [if unsaved] and B and C D3. then I tally up the total, and remove models as if they were just general wounds.

Not in that case, as you have made things needlessly complex. The only way you could have the situation you described is with a mixture of heroes and lords in a single unit.

I'll try to explain your situation a little more:

Rank and File A - 1 wound
You have Hero B, on 2 wounds
Lord C on 3 wounds

Before combat occurs you have to declare you are splitting attacks, as you have to nominate you are attacking Characters seperately in close combat, otherwise (like in 40k) they cannot be hurt by attacks on the unit they have joined. Likewise excess wounds on a character cannot spill over into the unit, or to other characters in the same unit.

So you declare 1 attack on A, 1 attack on B, and 1 attack on C

Assuming you hit and wound with all (you are a dice god today!), and they all fail their saves. This means that:

A is dead - he only has 1 wound, and you have caused 1 unsaved wound. Remove the model.
B is dead if you roll a 3 - 6, or takes a single wound if you roll a 1 - 2
C is dead if you roll a 5 - 6, takes 2 wounds from a 3 - 4 and 1 wound from a 1 - 2 result.

Even if you caused 3 wounds against B, by rolling a 5 - 6, the excess wounds are simply lost - they CANNOT be given to anyone else.

I hope this makes it clearer.

So, this sword is great for challanges

It can be very good for challenges, or when facing multiwound monstrous infantry. Trouble is you normally dont hit very hard so have to bypass armour, so coupling it with a potion of strength to be (usually!) S7 - 8 would be a big help.