Thee Heavenly Music Association was formed after Storer, (noted for her high-profile role in London all girl punk band Fluffy) relocated to Los Angeles Storer is also known for performing live shows with Fireball Ministry and Duff McKagen's solo band Loaded. She is also a contributing vocalist on the Twilight Singers album, She Loves You, with Mark Lanegan and Greg Dulli.
Hillis, who is best known for engineering Pearl Jam’s multi- platinum Ten LP, Temple of the Dog, Alice in Chains' Would? and Sap EPs, as well as songs on Cameron Crowe’s Singles soundtrack and a Dennis Leary HBO Special, recorded and engineered the project, later becoming an integral part of the band himself. Hillis is also a respected recording artist and had a recording contract with Island Records for his band Sybil Vane. He engineered The Afghan Whigs farewell record 1965 and also co-produced the record's single "66".
Musicians used for the heavily Psychedelic based album Shaping the Invisible, included bassist Bardi Martin from Candlebox and drummer Dave Krusen from Pearl Jam. Shaping the Invisible is the band's first album and its title is taken from a quote by Leonardo da Vinci describing music. The album was released to rave reviews on Rehash Records, and a single was released on Fierce Panda