In Croatia, König families are Croats (from Zagreb ).
Prevalence
Only a few people with faimily name König live in Croatia today, in one household only. There were 40 of them in the middle of the past century, and their number decreased significantly. They are located in one Croatian city only, in Zagreb (<5).
Outside Croatia
Family name König is present in 28 countries worldwide.
In the sources analysed in the project Acta Croatica so far, the name is mentioned over thirty times, the first time 1923 in source Emigration Commission Zagreb.