Two problems.

1. The Gaelic "claidheamh mor" is best translated into English as "Big Sword" which could legetimately be either, niether or both.

2. The weapons in question could be one in the same. Start with a two handed broadsword and rework it into a shorter basket hilt sword as sword fashon changes. The blade from one could be the exact same as the other so that the name stays the same too.

For example the Germans called their WWII helmet a "Stahlhelm 35", today collectors see each little change as a new different helmet such as M-35, M-40, M-42, M-45. The modern names would have been quite confusing to the original wearers. Is this the case?