"My Name Is Not Susan" Is The Fourth Single Released From Whitney Houston's Third Album I'm Your Baby Tonight 1990 . The Song Was Released On July 21 1991 By Arista Records. It Was Produced By L.A. Reid And Babyface And Written By Eric Foster White. In The Song Houston Confronts A Lover Who Has Mistakenly Called Her By His Ex-Girlfriend's Name "Susan." She Gives Him A Harsh Rebuke For The Mistake And Lets Him Know That If He Cannot Get Over Susan Then Their Relationship Is Over.