When you say a record ‘comes up as being’ in MA, it is likely that the person has a Social Security Number issued from that location. SSNs can be date/state located with only the first 5 digits.
For people born in the 60s, Social Security Numbers were not typically obtained until the person needed to get a job. So, on average, most SSNs are issued to the person either at the place they lived when they were 16-18 years old or at the place they were at when they job their first job (military families are exceptions as are missionary families).
Obama should have had his SSN issued in Hawaii most likely but he might have gotten it while he was in college or entering college since he never worked prior to that (according to his autobiography which has no corroboration).
It appears that he didn’t show up in MA until Harvard in his late 20s. So that wouldn’t appear to be much sense.
Oh - but what if he never had an SS number until at Harvard?
Oh - but what if he never had an SS number until at Harvard?