Bobby was born on August 6, 1927 in Shreveport, LA. He worked for his dad growing up as a plumber. After high school, he played semi-pro baseball for the Alexandria Aces, Shreveport Sports, and Monroe Sports. He was an avid golfer all of his adult life. After retiring from baseball he began his plumbing career full-time, and became a Master Plumber. In 1959, he and his wife Doris, founded Bobby L. Greene Plumbing and Heating Company, Inc.