Actually, RQ2/3 made such a distinction. Shortsword was in a different category than Broadsword, though this was incorrect IMHO.
Now, as to the skill. It should be 1h Sword. That should cover use of all swords used with one hand; perhaps with a temporary penalty if you use a weapon that is very different from what you normally use. Say, -15% for going from something like a Bastard Sword (using one hand) to a Gladius (shortsword) for the first combat or two.
Things were broken down this way in RQ2 and RQ3, but people seem to have had issues with the categories, or the items contained within, or something, and things became more "simplified" afterwards.
SDLeary