incorrect.
a person will be a citizen when born on the soil ... IF the parents were subject to the jurisdiction of the US and reside in the state.
'subject to the jurisdiction' means... being a citizen of the US.
illegals do not legally reside within a state... and are not subject to the jurisdiction (which is why they get shipped home). as such, anchor babies CANNOT be granted citizenship via the 14th amendment (which was meant to give citizenship to slaves and indians at the time).
I find the rule is better stated as a negative, "not owing allegiance to another nation." At the time of the founding, some states were stingy with citizenship, and even today, the US has under its protection, nationals (not citizens) and citizens.