The 31-year-old pop star, who became a mother after giving birth to Maxwell Drew last month, has now debuted the eight-week-old baby to her 5.3 million Twitter fans, reported Contactmusic.
Simpson posted a picture of her new arrival wearing a red and white striped jumpsuit, along with the simple caption, "Howdy friends".
Maxwell, who was born on May 1, is the singer's first child with her sports star fiance Eric Johnson.