Geese, Morwen, believe what you want. English is not the same everywhere.

"White": I was conjecturing about a family proud of their European cultural heritage, giving snobbish names to their children. In this case the song may have a connotation of mockery or schadenfreude, racial and cultural.

Living Down Under, you probably know that the word "Pommie" is usually explained as a mixture of "Tommy" and "pomegranate" - the latter mocking at the visitors' red skin by sunburn.

An expert for Jamaican is required. Since Lord Burgess and Harry Belafonte are US Americans of Caribbean background, their rendering may reflect USA mentality as well.