A Galveston County woman who was fully vaccinated against COVID-19 has died of the virus, the Galveston County Health District said.

While “breakthrough” infections of vaccinated people are possible, the news organization found they accounted for just 1.1 percent of all virus hospitalizations at the end of June.

Of the 18,000 American COVID-19 deaths in May, 0.8 percent were vaccinated people.

Harris County’s rate of fully vaccinated residents increased just 3.2 percent for the month, to 54.5 percent.