There needs to be more investigation into the role of employers in this mess.  How does a woman with no social security number get a job in a parts plant and keep it for years?
Why does the US accept income taxes from a non identifying digit??

If an employer issues tax slips to numerous people with no name or security number, wouldn't that be detected and investigated?

Of course the woman should not be in the country illegally.  However, a cynic might say that lobbying businesses and the government encouraged and permitted millions of people to come to the country to offer cheap labour.