But a state with two excellent universities has that - not two flagships. Flagship is a singular term - a good reference for the word generally can be found here. In this context, flagship means, as the introduction says, the leading comprehensive public research university in a given U.S. state.
During any pregnancy a small amount of the baby's blood can enter the mother's circulation. If the mother is Rh negative and the baby is Rh positive, the mother produces antibodies (including IgG) against the Rhesus D antigen on her baby's red blood cells.
If you're Rh-negative, there's a good chance that your blood is incompatible with your baby's blood, which is likely to be Rh-positive. You probably won't know this for sure until the baby is born, but in most cases you have to assume it, just to be safe.