[freehunter]

The first and last name may be a coincidence, but depending on how old you are the "same hospital" is likely not. SSNs are generated based partially on geographical area, so if that's the only or the biggest hospital in the area, the likelihood of getting a number from the same hospital is substantially higher.

If you have someone's SSN, you can pretty easily deduce what city they were born in unless they are very young (they switched this process recently).