According to Michael's marriage certificate to Dorothy (his second wife), Michael was born in Baton Rouge, Louisiana on 10 December 1926. Also according to this marriage certificate, Michael was widowed when he married Dorothy, so he was married at least three times. His first marriage is not yet known.
2nd marriage - Dorothy Virginia K. (Kensinger) Martinez (marriage certificate found on Ancestry) on 26 Aug 1963 in Missouri. This was also Dorothy's second or third marriage as she is listed as divorced.
According to a family tree on Ancestry (called the Mahoney Family Tree) his parents are listed as Dr. Raymond R Mahoney (born 1905) and Dorothy Westerman (born 1906).
Michael is not living with Raymond or Dorothy on the 1930 census and I can't seem to locate him anywhere on the 1930 census. You might reach out to the tree owner if you have access to Ancestry, and see what proof he has that Michael is their son.