Not exactly. The baby is born in the U.S. to illegals and is automatically a citizen by birth. The parents then get preferential treatment for visas to be here legally...the path to citizenship...but not instant citizenship. Siblings born in other countries can get visas too....then comes the extended family...grandparents, cousins, aunts, uncles, etc. That is the purpose of an anchor baby.
Can see pregnant illegal women hanging around the parking lots of Texas hospitals just ready to deliver the anchor baby...and U.S. taxpayers pay for it because the mothers are uninsured.
Wonder what jobs they are going to do?