Susanna Hernandez’s first pregnancy ended in miscarriage. Now she was worried about her second and had not seen a doctor since the hospital in Kennett closed. Every few minutes, she touches her abdomen to feel for a kick, a movement, any sign that the girl inside is still healthy and growing. Ms. Hernandez, who emigrated from Mexico a year ago, speaks almost no English and spends her days trying to relax and pray.

“Our community is just in panic,” Deloris Johnson, who sits on the county’s ambulance board, said in an interview in June. “They don’t know what to do.”

Then, this month came the news that she and many in Kennett had been dreading. Two infant boys, each about a month old, died on opposite ends of the county, one on July 4 and the other the following morning.

In both instances, officials said that family members discovered the children unconscious and rushed them to local ambulance stations. One was driven 20 miles to a hospital in Paragould, Ark., and the other was taken to a hospital in Piggott, Ark., where they were each pronounced dead, investigators said. Investigators would not release the children’s names or any additional details. They said autopsy reports had not been completed and said they did not yet know how the children had died, or whether any intervention could have saved them.

Their deaths sent a shudder through Kennett.

“This is just the beginning,” Ms. Johnson said. “To think we don’t even have a damn hospital for these people to go to.”

Rushed Into Surgery

After a Four-Hour Trek

As Ms. Abernathy and her mother raced down dark country roads at 90 miles an hour, all they could think about were the twins. Would she have to deliver them on the side of the road, before she got to a hospital? Would the babies be O.K.?

They pulled into the town of Hayti 17 miles east and rushed into the Pemiscot County hospital. It was an act of desperation. The hospital’s obstetrics unit had closed four years ago, and the emergency-room staff looked shocked to see her. The labor and delivery rooms now sat unused.