The two characters in "Contents of the Dead Man's Pocket" are Tom Benecke and Clare Benecke. Jack Finney's short story contains no other characters.
Tom is the protagonist. By profession, he's an advertising executive. He's portrayed as a young man who's a hard worker, a risk taker and a self-starter. Nevertheless, these attributes lead to a life-or-death situation that results in an epiphany to reassess his priorities, specifically his relationship with his wife.
Clare is the neglected wife. It's notable that she only appears once in the story. She's described as a pretty young woman with a pleasant nature who's had to deal with Tom's constant absence due to his career ambitions.