In Chapter 44, when Darcy, Georgiana and Bingley get ready to leave the inn at Lambton, Darcy invites the Gardiners & Elizabeth to dine with them at Pemberley. I hadn't before noticed the use of the word "obeyed" to describe Georgiana's compliance with her brother's wishes.

"when they arose to depart, Mr. Darcy called on his sister to join him in expressing their wish of seeing Mr. and Mrs. Gardiner, and Miss Bennet, to dinner at Pemberley, before they left the country. Miss Darcy, though with a diffidence which marked her little in the habit of giving invitations, readily obeyed."