According to IMDb.com, the series was called "The Adventures of Rin Tin Tin" (1954-59)

The episode in question was season 2, episode 6, called "The White Buffalo"; it aired on 14 Oct 1955.

The song was called THE WHITE BUFFALO; it was written by Alan Bergman and sung by James Brown.

James Brown was the actor who played Lt. Rip Masters, the principal adult character in the series.

The principal kid character was Cpl. Rusty, played by Lee Aaker.