A big part of what made Buck Owens such an exciting country act was his band, The Buckaroos. Although Owens took some guitar solos himself (and he was a fine picker), most of the guitar picking came from the fingers of Don Rich.
A fine example of his fret work is the 1967 recording of Chicken Pickin', issued as a single and included on the album The Buckaroos Strike Again.
Below is a lick to Chicken Pickin', with the music taken off the 45 single.
The flip side of the single was Apple Jack, which was posted previously. That post also had more information on the album from which it was taken and on The Buckaroos.
Chicken Pickin' is available on several CD compilations, including two mentioned in the previous post. The track can also be downloaded.
From YouTube, here's a short live clip from TV of Don Rich and the Buckaroos playing Chaparral.