Indians- india virtually clothes the entire world, cotton textiles, mathematics, numerals, and invention of zero.
Malays- most intrepid sailors of the time period, many delivered goods from South China to East Africa, spices cloves ,nutmeg, & mace.
Chinese- champa rice, printing, gunpowder, Daoism, Buddhism, compass, silk improved in india, middle east, north africa and islamic spain. Discovering a silver mine as well as gold.
Apparently, all of the names on the map are Irish, so the map suggests that Irish immigrants may take over the United States by the 1900s.
You may well be right about people's fears that immigrants, lots of them from Ireland, would overrun the country. Look up when the potato famine was, though. The map may be from the early 1900s, but, if so, not about the potato famine in Ireland.