For the wife of President Herbert Walker Bush and mother of President George W. Bush , see Barbara Bush For the wife of George H.W. Bush , see Barbara Bush . Barbara Pierce Welch Bush ( born November 25 , 1981 ; Dallas , Texas ) is the elder of the fraternal twin daughters ( the other is Jenna Hager , nÃ e Bush ) of the 43rd U.S. President George W. Bush and former First Lady Laura Bush , and the granddaughter of the 41st U.S. President George H. W. Bush , and his wife Barbara Bush , after whom she was named .