The Old World is a reference to those parts of Earth known to Europeans before the voyages of Christopher Columbus; it includes Europe, Asia and Africa.
There has to be some humor here. Someone please enlighten those of us on the west side of the pond.
Mrs. Hycinth Bucket (pronounce: 'bouquet') was the lead character in an extremely 'British' TV series about a middle class woman with la-di-da upper class pretenses.
(Obviously you had to have been there).