While rehearsing outside with Charlie his toast for the First Lady, President Bartlett slips in an anecdote about a ditch digger. President Bartlett says if you'd married him you'd be the wife of a ditch digger. He says her reply was if she married him he'd be President. This is a different take on a very similar joke that involves the Clintons, Hillary's supposed ex-boyfriend and his job as a gas station attendant.
In the West Wing universe, the 1998 Good Friday Accord in Northern Ireland still happened, presumably with President Owen Lassister as a major player in its drafting rather than Bill Clinton.
Although the Americans refer to him as Lord John Marbury, Marbury describes himself as "John, Lord Marbury" and gives a list of his other family titles. This means that he should always be addressed as Lord Marbury, not Lord John. The two are mutually exclusive. The only way he could be Lord John Marbury would be if he were the younger son of a Duke or Marquess, and thus not due to inherit the actual family title.
Jed (Martin Sheen) asks Abbey (Stockard Channing) which organ in the body produces hydrochloric acid, and she responds "the pancreas", which is incorrect. Hydrochloric acid is produced in the stomach. The pancreas produces a substance which decreases acid.
Bartlet (Martin Sheen) mentions that the dessert is "kumquat Napoleons." This is actually a real dish - Napoleon is another name for mille-feuille, a kind of French pastry that can incorporate various fruits.