Alexander Hamilton was the first Secretary of the Treasury in the United States.
William Talman originally auditioned for the title role of Perry Mason and Raymond Burr auditioned for the role of Hamilton Burger in the original Perry Mason TV series… Creator and author, Erle Stanley Gardner, was present and demanded that the actors switch parts. Burr was then given the title role and Talman got the role of Burger.
In his will, Lord Nelson asked that the British barion provide for his mistress, Emma Hamilton.
The British government ignored the request.
Emma Bunton has her Spice Girls moniker, Baby Spice, tattooed on her butt.
George, Duke of Clarence and younger brother to Edward IV and Richard III, died in the Tower, reputedly being drowned in a butt of Malmsey wine.
Richard Burton once shared the record with Peter O’Toole for the most Oscar acting nominations (7) without a single win. In 2007, that record was broken, when O’Toole was nominated and lost yet again for the film Venus.
I know the Brazilian Barion, but not the British one: João Barion - Wikipedia
In play:
Richard Burton was asked, during a TV interview regarding the 1981 Royal Wedding, what he thought “as an Englishman” of all the hoopla, and he politely pointed out that he was Welsh.
Tim Burton has a chimpanzee phobia.
Ronald Reagan (Bedtime for Bonzo), Dick Van Dyke (Lt. Robinson Crusoe, USN) and Hugh Grant (The Pirates! In An Adventure with Scientists!) have all appeared in movies with chimpanzees.
Ulysses S. Grant trained horses as a young boy.
Louis S. St-Laurent served as President of the Canadian Bar Association in the 1930s. Searching for meaning after reaching that pinnacle of a lawyer’s career, he entered politics and eventually achieved the consolation of becoming Prime Minister of Canada.
Louis B. Mayer was the highest-paid American business executive throughout the 1930s.
Damn spell-checker! 
In play:
The official title of most provincial premiers in Canada is “President of the Executive Council.” However, they are never referred to as “Mr President.”
When a deliberative body is in “executive session”, it is closed to the public and the minutes may or may not be available to the public or members.
Because of the famous grapefruit scene in The Public Enemy (1931), for years afterward when dining in restaurants, fellow patrons would send grapefruit to James Cagney, which – almost invariably – Cagney would happily eat.
The film Ragtime is notable for featuring the final film appearances of James Cagney and Pat O’Brien; and early appearances, in small parts, by Samuel L. Jackson, Jeff Daniels, Fran Drescher and John Ratzenberger
I don’t see the trivia linkage. What word is repeated?
John Ratzenberger, best known as Cliff on Cheers, also has a small part as a Rebel officer on Hoth in The Empire Strikes Back.
Hugh Grant—>Ulysses S. Grant
In play: The title of the movie Rebel Without a Cause was adapted from psychiatrist Robert M. Lindner’s 1944 book, Rebel Without a Cause: The Hypnoanalysis of a Criminal Psychopath. The film itself, however, does not reference Lindner’s book in any way.
Yes, “Grant” was the link.
In play: Originating his Father Knows Best role on radio, Robert Young was the only member of the radio cast to transfer his role to TV. When the series debuted in 1954, the show did so poorly in the ratings that CBS canceled it in March of 1955. A flood of protests came from viewers insisting that the show be reinstated. The show was moved to an earlier time, and it gradually became a hit.
William Conrad originated the role of Marshall Matt Dillon of Gunsmoke on radio. When it moved to TV, he was considered physically unsuited for the part, so the producers replaced him with James Arness. Conrad did voiceover work, most notably as the narrator on Rocky and Bullwinkle cartoons, and finally made his TV starring debut Cannon.