Listen to Pistol Packin' Mama online. Pistol Packin' Mama is an English language song and is sung by Bing Crosby and The Andrews Sisters. Pistol Packin' Mama, from the album Fallout 4 - The Unofficial Soundtrack, was released in the year 2016. The duration of the song is 3:02. Download English songs online from JioSaavn.