if they had any, what sort of valyrian steel weapons do you think house justman, teague and garnder would have? and what would be their names?

Well, not every House has to have a Valyrian sword, so I’m a little hesitant. I don’t think the Teagues would have had one, and if the Justmans ever had one it probably would have been lost with Bernarr II (although I like the name Balance). As for House Gardener, I like the idea of Longthorn (maybe Leo Tyrell nick-named himself after the famous blade?) – hat tip to @warsofasoiaf for that one.