Originally, they were Paul Revere & the Raiders, and were costumed in colonial uniforms when they scored hits like "Good Thing" in the 60's. By 1971, vocalist Mark Lindsay had released two solo albums and had a pair of hits of his own with "Silver Bird" & "Arizona", but rejoined the band, now known simply as, The Raiders, for one last run on the charts.
"Indian Reservation" was the band's final hit, an ode to the Cherokee nation. When it resurfaced on the country charts a few years later (not sure of the artist), all references to the Cherokees were removed, making the song more of a commentary on Native Americans of all tribes.
I happen to be 1/4 Native American myself, so "Reservation" resonates with me a little.
The performance track comes from Kenny Rogers & the First Edition's 1971 syndicated series, Rollin' On the River, with an introduction by Rogers himself.