San Antonio hospitals report significant rise in pregnant women testing positive for COVID-19 Increases come as Delta variant spreads in Bexar County Updated: Local hospitals urging pregnant women to get vaccinated amid rise in COVID-19 cases SAN ANTONIO – At least three of San Antonio’s major hospital systems report pregnant women are included in the surge of COVID-19 cases brought on by the highly contagious Delta variant. “We’ve had a huge rise in the number of pregnant cases we’re seeing,” said Dr. Patrick Ramsey, a maternal fetal medicine specialist at University Health and a professor at UT Health.