OCRACOKE, N.C. — The baby was playing on the flooded floor again.

Jade Lopez scooped up her 11-month-old son, José, and wiped the long black bangs out of his eyes as he showed off a dirty plastic humidifier he had found. It had been just one day since Hurricane Dorian flooded the family’s trailer and gutted their taco shop, and already the stench of rot was creeping in.

Her husband had torn up the soggy carpet, and Ms. Lopez, 21, had scrubbed the floors and heaped the soaked clothes in the bathtub. But as she and her two children sat in the broiling kitchen on Saturday afternoon, with the power out and their flooded generator out of commission, she said she felt surrounded by that smell, and by the scale of what they had lost.