The previous week, Jessica Tandy starred in an episode of "Alfred Hitchcock Presents". Now in the following week, her husband, Hume Cronyn, stars in one himself. And, if they were looking for bragging rights, "The Impromptu Murder" is slightly better...though neither are exactly classics.
The episode is set in 1916 and Henry is an embezzler in need of money. And so, when a rich woman ends up staying with him, he kills her to rob her from the bag of money she's been toting. Then, he tosses the body in the river and thinks he's gotten away with it. When he later talks with the police, he almost immediately caves because, well, he's an idiot!
As I mentioned above, this isn't exactly a classic. The ending when Henry confesses seemed a bit sloppy...mostly because he really didn't need to and the show seemed to imply that a killer can't run away from his guilt, which for most killers is pretty ridiculous. After all, they kill because they are bad and their consciences are practically nonexistent!