Galveston County is prepared to administer up to 1,000 vaccines daily as it starts mass vaccination efforts in the area, according to Judge Mark Henry. The county has set up a drive-thru COVID-19 vaccination site at Walter Hall Park in League City, which according to health authorities, has the highest rate of coronavirus infection in the area. They plan to begin vaccinations on Jan. 23 with those who have scheduled appointments through UTMB and.