They discuss how her father would disown her if he knew what she was doing.
Jonathan convinces her to wait for the office to reopen on the roof of the building.
Eventually, he tosses her over the edge, taking her gold lighter and cigarettes, leaving her purse and tossing her new shoes after her plunging body.
In the lobby, he mails a letter and calmly walks past her body as the crowd gathers.
It was at the revelation that Finn and Jake know Peppermint Butler that Death allowed them to return to the surface, even though Finn had lost a music battle to him.