Ok, so there's one of two things happening here. both terrible. Option 1, You create a weapon via random generation using the naming convention OP talks about, giving +1s a particular material etc, then you basically have to refer to another chart, such as the one you linked me, and I have to randomly generate all of that mess to get a name. I don't want to have to randomly generate a weapon and then have to do it for the name, it's double the work when you could easily just give the weapon a name, which brings us back my original post about how tedious it would be to come up with a name specific to each individual weapon. The act of naming weapons either manually or specially is way more hassle than it's worth when you have a perfectly good name from the +1s > darkwood (or whatever). Secondly, you are going to respond with something along the lines of just use the "name generator" instead of giving the items special materials to plusses. This means you are basically doing the generation without mapping the +s to materials. Completely a waste of effort in that situation, OR you can use your chat to map names to the plusses which is essentially what OP proposed in the opening post. Redundant is redundant.
"Sheepbiter, enemy of all things wooly"!
NSFW (and kinda vulgar)
Imagine the perspective of a person who *creates* a +1 weapon.
Does that person name it?
Naming weapons assumes a non random treasure generation game.
Glamdring and Orcrist didn't have their names etched on the blades, to the best of my knowledge. Gandalf knew of them by reputation. You can doubt that, but certainly the Goblin King identified both weapons without ever getting close enough to read the runes on the hilt.