Can you solve it? An Aboriginal family puzzle

The skins they live in

UPDATE: The solution is now available here.

Hi guzzlers,

Today I have a logic puzzle based on the complex kinship rules found in Australian Aboriginal society. Aboriginal groups are divided into subgroups, called "skins." Your skin is determined at birth, based on your parents' skins, and it does not change in your lifetime. Your skin will determine certain social rules, such as who you marry.