I have a 6 week old baby, I am constantly worried she will get a virus and end up with brain damage or worse. Is this a common thing from a virus?

No. This would be a significant possibility if you got measles,CMV or Zeka during pregnancy but lessens after the baby is born.Most infant viral infections are minor and the nasty ones rarely cause any brain damage. If Zeka becomes prevalent in the US, I worry that that one may have an effect on the growing brain of babies but that is just me speculating.The older the kid, the less that germ is a risk.