This was the first hit for Joshua Kadison, who made a mark on Adult Contemporary radio with this song and its follow-up "Beautiful In My Eyes." Kadison dated the actress Sarah Jessica Parker, of Sex And The City fame, and broke up with her before recording this song, leading to speculation that she is "Jessie." Kadison avoids the topic, but Parker has never been known to be called "Jessie" or own a cat named Moses. In 1997, she married actor Matthew Broderick.
Rod Argent and Peter Van Hooke worked with Kadison on this track, which took three recording sessions to get right. The first attempt was with a live band in a big London studio, but it lacked the intimacy they were looking for. They tried again in Argent's studio, but again didn't get what they hoped for. Finally, Kadison sat down at an out-of-tune piano at Argent's home studio and recorded the vocals and piano take they decided to build the track around.
Jessie shows up again in the last song on the album, "Georgia Rain," which is a sequel to this song.