And...NO! There four children are NOT American citizens.
They’re anchor babies!
yes. they are. unfortunately
They actually are, but the Anchor Baby policy may be changing soon, and for good reason. Way back when, the nation needed bodies. Before we booted the Monarchy, they'd offer free lands to anyone who would relocate to the Colonies. Early in our Founding, our westward expansion had very similar policies.
But there were less than 1 billion people in the world before 1804. The world now has 8 billion, and most major nations have overpopulation concerns, not under-population. Obama's Science Advisor famously wrote in the 1960s that America was already grossly overpopulated, and we would no longer be able to feed itself by the time we hit 225m in the year 2000. We hit 225m in 1980, and we still are the largest net food exporter on earth even at 330m.