The house band was none other than Booker T And The MG's. This became the home of soul superstars like Otis Redding, Sam And Dave, Wilson Picket, Carla Thomas, Eddie Floyd, Albert King, and behind-the-scenes legends like Steve Cropper and Donald "Duck" Dunn. They created a subsidiary label called Volt Records. Atlantic Records had first publishing rights to anything recorded on Satellite, then Stax. The Blues Brothers movie is basically a tribute to Stax Records and the sweet soul music they brought to life. The Stax sound was really born with the very NEXT record they released AFTER this one, Last Night by the Mar-Keys.
Here is You're My Girl by Jimmy And The Spartans on Satellite 106 from 1961:
If you know anything more about these kids, please let me know. In the meantime, there's an incredible archive of Teeners and Soul music waiting for you on MusicMaster Oldies. Enjoy!