There's a John Kelly on the Social Security Death Index who was born 22 Jun. 1894 & died in March 1967. His last residence was Brooklyn, NY in zip code 11205. His Social Security number was issued in New York before 1951.
It's not a definite match, as the date of birth is off by one each on the day & year from the WWII Draft Registration Card that Lisa found, but it wouldn't be the first time I saw someone with a fluctuating date of birth. In my experience, this seems to happen with some degree of regularity with Irish immigrants - I don't know if it may have been a cultural thing of the time or a record-keeping issue or what.