Listen to Mamas Don't Let Your Babies Grow up to Be Cowboys online. Mamas Don't Let Your Babies Grow up to Be Cowboys is an English language song and is sung by Ron Currie and Ben Currie. Mamas Don't Let Your Babies Grow up to Be Cowboys, from the album Just the Good Ol' Boys, was released in the year 2017. The duration of the song is 3:27. Download English songs online from JioSaavn.