Yet another soundtrack question unanswered by credits

10 minutes into the movie, she's cleaning up the apartment and We Three Kings of Orient Are is played by a group led by electric guitar and harmonica. It is remarkably good for a bit of fill and I'd love to know who did it. There is no credit for it at the end or here at imdb.

The musical arrangements are the highlight of this movie! Well, that and the beautiful Elisabeth Röhm playing the noxious Priscilla Hall.