Well, I took this as a challenge, and I think the year of birth commonly given for Cisero - 1937 - might be wrong. The Social Security Death Index is usually the best source for exact dates of birth and death (people don't underestimate their age to Social Security).
Unfortunately, I find no plausible listing for Cisero under the Murphys who were born in 1937 and died in 1996. But I did find a listing for a C. Murphy born on October 2, 1935 who died in April 1996 (usually an exact date of death is given but not in this case). Try as I might, I could not find Cisero's date or month of death to see if it was April. His social security number was issued in New York but "last residence" was blank. His social security number is given, but I doubt if anyone could verify it.
I think 1935 might be right because a NY Times article dated March 22, 1965 described him as a "29 year old Negro from Brooklyn". If he had been born on October 2, 1935, he would have been 29 when the article was written.
This assumes that he had a social security number. I'm pretty sure he must have. If he ever worked in the above-ground economy he would have had to have one. I suspect he obtained it when he had to, in his later years when employers would have insisted on it.
This could be all wrong, but if someone knows the month in which he died and it's April, I think he would be the C. Murphy that I found. For all we know, relatives might have been guessing about his year of birth.