After attempts on 5 days, the Caregive got me an appointment for the first shot. None for Caregiver.

 "Pity the rule-followers: Many older Americans who are not tech-savvy or lack internet access have been unable to get slots. It might be theoretically possible to sign up by phone, but by the time you get through, the newly released appointments may be gone. Those without a child or grandchild to help secure an appointment could be out of luck." N Y TIMES