The follow-up album, Potlatch, featured the song "Alcatraz," which dealt with the 1969 occupation of Alcatraz Island by Native Americans, and a moderately successful single, "Maggie."

In 1971 the band's third album, Message from a Drum, hit pay dirt for Redbone. The album featured the Cajun-swamp rocker "Witch Queen of New Orleans," which bore a lyrical and musical resemblance to the swamp-rock songs of Creedence Clearwater Revival. While the song was a success in the United States, it was a monster hit in the United Kingdom, propelling the band to tour as an opening act for such groups as Traffic, Alice Cooper, and the Faces. The death of DePoe's father prompted the drummer to quit the band. "He couldn't stay with us because his family was dependent on him," Pat told Isaac. DePoe was replaced by Arturo Perez on the 1972 album Already Here.

In 1973 Redbone released the politically oriented "We were all wounded at Wounded Knee", recalling the massacre of Lakota Sioux Indians by the Seventh Cavalry in 1890. The song ends with the subtly altered sentence "We were all wounded by Wounded Knee". The song reached the number one chart position across Europe but didn't chart in the USA where it was initially withheld from release and then banned by several radio stations. Is this the cause of their future disparition from the charts ?
Perez departed shortly thereafter, however, and was replaced on the 1974 release Wovoka by Butch Rillera. Wovoka contained the band's most successful single, "Come and Get Your Love" which featured a popping disco bass beat and Leslie-amplifed guitars supporting the husky call-and-response vocals of Pat and Lolly Vegas.

Following the success of "Come And Get Your Love" the foursome played the disco card to the hilt and released their sixth and final album for Epic in 1974. "Beaded Dreams Through Turquoise Eyes " featured lightweight, string-laden, soul- influenced numbers such as "Beautiful Illusion", "I'll Never Stop Loving You" and "Blood Sweat And Tears", while two disco-oriented singles, "One More Time" and "Suzie Girl", attempted to reach top charts, with less success then "Come and Get Your Love".

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