this isn't the only link...
goggle:
hinkley and "neil bush"
you'll get plenty of links...but here's a good one, which also includes the original AP story posted at the time of the assassination....
Hinckley - Bush Family Friendvon A. Weist - 27.11.2003 04:13
John Hinckley Jr., who shot Ronald Reagan in 1981, is about to be partially released from confinement after testimony from government psychiatrists. Hinckley's family and the family of President George W. Bush have long, complicated ties that have been little reported.
Hinckley's brother was scheduled to have dinner at the home of the current President Bush's brother the day after the assassination attempt. Vice president George H.W. Bush, father of the current president, George Bush, Jr., assumed the duties of the presidency briefly after the shooting and nearly became president as Reagan almost died from the shooting. A bullet missed his aorta by less than an inch.
The Bush and Hinckley families go back to the oil-wildcatting days of the 1960s in Texas. (Ironically, they go back even farther in a genealogical sense, since the have a common ancestor in Samuel Hinckley, who lived in the late 1600s.) The relationship was much closer between George Bush, Sr., and John Hinckley, Sr., whose families were neighbors for years in Houston. John Hinckley, Sr., contributed to the political campaigns of Bush, Sr., all the way back to Bush's running for Congress, and he supported Bush against Reagan for the 1980 Republican presidential nomination. Bush, Sr., and Hinckley, Sr., were both in the oil business. When the Hinckley oil company, Vanderbilt Oil, started to fail in the 1960s, Bush, Sr.'s, Zapata Oil financially bailed out Hinckley's sompany. Hinckley had been running an operation with six dead wells, but he began making several milliion dollars a year after the Bush bailout.
Scott Hinckley, John's brother, was scheduled to have dinner at the Denver home of Neil Bush, Bush, Sr.'s, son (and of course the current president's brother) the day after the shooting. At the time, Neil Bush was a Denver-based purchaser of mineral rights for Amoco, and Scott Hinckley was the vice president of his father's Denver-based oil business.
On the day of the shooting, NBC news anchor John Chancellor, eyebrows raised, informed the viewers of the nightly news that the man who tried to kill the president was acquainted with the son of the man who would have become president had the attack succeeded. As a matter of fact, Chancellor reported in a bewildered tone, Scott Hinckley and Neil Bush had been scheduled to have dinner together at the home of the (then) vice-president's son (Neil) the very next night. The story of the Bush-Hinckley connection was reported on the AP and UPI newswires and in some newspapers, including the Houston Post, which apparently originated the story. It was also reported in Newsweek magazine. Then the story about one of the strangest coincidences in presidential assassination history simply disappeared. (The AP story is quoted in its entirety at the end of this article, not for commercial use but solely to be used for the educational purposes of research and open discussion.)
http://germany.indymedia.org/2003/11/68265.shtml