The veterans claim they had no idea the hip-hop stars had been granted permission to use parts of their 1979 song I'm Just Doing My Job on T.I.'s Trap Muzik album, which was released in 2003 and contained the tune Doin' My Job, produced by West.
The sample was provided by bosses at Universal Music, but the members of Bloodstone insist they were not approached to officially clear the music - and now they are suing all three parties for punitive damages, and requesting an injunction on T.I.'s track.
In legal papers obtained by AllHipHop.com their lawyer states: "Plaintiffs do not approve of their song being sampled in a hip hop or rap song.
"Bloodstone did not know that Umg had granted the license to Ti and Kanye West until late 2011/early 2012. Since that time Bloodstone has sought to find out who granted the license to Ti without any authority, and recently learned it was Ume (Universal Music Enterprises)."