Bloodline signed to Varèse Sarabande/Capitol in 1994 and released one self-titled album. The group's members were drummer Erin Davis (son of Miles Davis), rhythm guitarist Waylon Krieger (son of Robby Krieger), and bassist and lead vocalist Berry Oakley, Jr. (son of Berry Oakley), along with Bonamassa, whose parents were musicians, though not famous. For the keyboard parts, the band called veteran keyboard player Lou Segreti. Warren Haynes made a guest appearance on the album. The record produced one hit single, "Stone Cold Hearted", which reached No. 32 on the Billboard Mainstream Rock Tracks chart. The group split shortly after the release of the record, immediately following a tour opening for Tesla and Lynyrd Skynyrd.
- "Bloodline: A Potent Source Of Texas Blues-Rock". Boston Globe. August 24, 1994.
- "Like Fathers, Like Sons? Bloodline Features Kids of Some Dear Ol' …". St. Louis Post-Dispatch. October 7, 1994.
- "Bloodline Pumping In Debut Album". Washington Post, August 14, 1994.
- "Bloodline Quintet Follows Rhythmic Footsteps of Dads". San Jose Mercury-News. August 10, 1994.