But since there probably aren't many two-year-olds applying for jobs nowadays the comment is still relevant.
Thank you for the update and chuckle!
Someone who wasn't born a US citizen would only get assigned an SSN with their green card or work visa, and I'd imagine the prefix would indicate their first place of residence in the US.
So the most you can get from a pre-2011 SSN is that someone lived in some particular state in some particular year, and that information is likely inferable from the resume anyway.
Quoting from the Social Security office: "Must my child have a Social Security number? No. Getting a Social Security number for your newborn is voluntary. But, it is a good idea to get a number when your child is born. You can apply for a Social Security number for your baby when you apply for your baby’s birth certificate."
A couple of decades back, the law was changed to require the SSN for any claimed dependents. Most people, of course, want that ~ $4,000 deduction, so hospitals often distribute the birth registration form.
For what it's worth, I was also born in the 1970s, but didn't get my SSN until jr. high, as I recall.