No. Many employers get a SSN from their illegal workers. They pay their portion of the taxes for those emigrants. They then get a letter telling them the number provided is not a valid one but the govt still keeps the checks. So in reality the govt makes money off emigrants in the fashion.

This is all just a guess really. I spent most my time growing up on a farm working in the fields. Not really the place I'd run into this kind of thing. I can also guess how they get here and get a valid, as close as you can get without actually being the person, ID's including SSN#s. They'd have to pretend they were from 1978 or older though.