5 Fast Facts You Need to Know : 1. Cooks Father Is Brinkleys Ex-Husband Peter Cook. 2. In the Past, Cook Has Struggled With Body Image Issues. 3. This Is .\rbr\rbr5 Fast Facts You Need to Know : 1. Her Parents Are Billy Joel and Christie Brinkley. 2. Alexa Testified in the Divorce of Christie Brinkley & Peter Cook. 3.\rbr\rbrSupermodel Christie Brinkley appears with her daughters Alexa Ray Joel and Sailor Brinkley Cook in the 2017 Sports Illustrated swimsuit issue. Alexa tells .\rbr\rbr5 Fast Facts You Need to Know.