It had been weeks since Acy Grayson III, owner of Let It Shine, a home improvement outfit he runs out of his own home in the suburbs of Cleveland, had vowed to get a Covid-19 vaccine.

Appointments were available.

But Mr. Grayson, who never knows how long a job will take or when a new one will come along, had found it hard to commit to a time and a place. The mass vaccination site where appointments were not required was off his beaten path. He did not know that a nearby church, Lee Road Baptist, had been dispensing vaccines on Fridays — but the truth is, even if he had, it is unlikely he would have made the short trek to get one there, either.