Thanks, Amy! Since I'm Madison-125, you can click on my name below.
One of the sites I found that helps with this sort of question is ScotClans. Using their data, it appears that Carson doesn't show any connections to the clan system, although the Acarson name does. Have you managed to document your family within Scotland? You can always avail yourself of the district tartan from the area in which they lived, or the ever-popular Flower of Scotland tartan.
You can find the Tartan for Livingstone here: Clan Livingstone Tartan