HOUSTON Pediatricians are sounding the alarm about a concerning side effect of the coronavirus. They say immunization rates have plunged since the start of the pandemic. Mostly because the particular vaccine my son was getting was a second-round Kubala said, explaining her thoughts behind wanting to delay getting her baby immunized. Texas vaccination ratesTexas children fall short on vaccines compared to other kids across the country, state data reveals. However, according to data from children born in Houston in 2015 and 2016, they are above the national rate for vaccine coverage at 73.7%.