Yes, Peru used to export pottery with a distinct brown colour. Prior to cheap air travel travelling to Peru was rare but the pottery was common. So "Peru pottery brown" was just called "Peru" when talking about colours.
After doing some digging, I found out that Peru is also a named color in the X11 color system[1]. Peru in particular seems to come from Peruvian Brown[2]. I don’t know what is peruvian about this shade of brown. But hopefully this is enough to get you started.