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 Johnny Paycheck. Mamas Don't Let Your Babies Grow Up to Be Cowboys, from the album Are You Ready for the Country-Tribute to the Music of Waylon Jennings, was released in the year 2015. The duration of the song is 2:18. Download English songs online from JioSaavn.