The connection goes back even further than '63:
"According to a CIA internal memo dated November 29, 1975, Bush’s original oil company, Zapata Petroleum, began in 1953 through joint efforts with Thomas J. Devine, a CIA staffer who had resigned his agency position that same year to go into private business. The ’75 memo describes Devine as an “oil wild-catting associate of Mr. Bush.” The memo is attached to an earlier memo written in 1968, which lays out how Devine resumed work for the secret agency under commercial cover beginning in 1963."
whowhatwhy.org/2007/01/07/cia-bush-senior-oil-venture/