In Palm Beach County and elsewhere, that process has been highly chaotic. The county’s phone-based request system was so overwhelmed that it “absolutely died on us,” Alina Alonso, the health director in Palm Beach County, said at a news conference on New Year’s Eve, causing officials to move to an email system.

Anyone aged 65 or older is now asked to send in a name, phone number and date of birth — with no guarantee that an appointment will be forthcoming, but rather dependent on the county’s supply.

“We were told to tell our constituents that the process is in place, and that they need to be patient,” said state Sen. Bobby Powell (D), who represents the area.

Representatives of the chain pharmacies, meanwhile, said enrolling people to receive vaccines is the responsibility of individual facilities.

“We request that all long-term-care facilities register all residents and staff through our registration portal before clinics,” said Rebekah Pajak, a Walgreens spokeswoman.

She declined to confirm that Walgreens had performed vaccinations at MorseLife, citing “security and privacy reasons,” though two people who received shots there said Walgreens had been on site.

Michael DeAngelis, a spokesman for CVS, said the pharmacy receives a list of names from each facility, at which point it begins scheduling the first of three visits — the first for the initial shot of the two-dose regimens, the second for the booster shot and the third to complete immunization for anyone who received an initial shot during the second visit.

“We get a count of how many people are signed up to be vaccinated so we can bring enough vaccine,” he said. “We don’t capture the personal information of patients beforehand.”