I am assuming that you have the information from the Social Security Death Index:
JOHN BOWMAN
BORN: 25 Dec 1919
DIED: 15 Jun 1988 (VERIFIED)
LAST RESIDENCE: 70584 (Sunset, Saint Landry, LA)
SS# ISSUED IN: Tennessee
From:
Social Security Death Index Interactive Search
Also on that site it gives his SS# and you can send away to Social Security to get a copy of the card he filled out. I believe it gives his parents names on that card, but I'm not sure as I've never ordered one. They charge you $27 for the copy.