This is Rose Maddox with the classic "Move it on Over." The band is more than likely her brothers, cleverly billed as The Maddox Brothers and Rose. The story is that there was a venue that liked the brothers, but would only hire them if their sister Rose would sing with them, over the objection of their mother and manager. Many of the women of country music, like Emmylou Harris, Dolly Parton, and others, cite Rose Maddox as one of their early and under-credited influences.
She also had quite an independent career, both as a soloist and a duet partner, often with Buck Owens, her brother Cal, and her sister-in-law.
Early recordings with her brothers were characterized by what some people termed "Maddox talk," which was basically siblings bantering back and forth with silly comments, whistling, and so on.
The story of the Maddox family is one of those Grapes of Wrath success stories of the depression.