From Wikipedia:

Books by Stewart Edward White (1873-1946):

The Long Rifle (1930)
Ranchero (1933)
Folded Hills (1932)
Stampede (1942)

These 4 books comprise "The Saga of Andy Burnett," which follows a young Pennsylvania farm boy who escapes his overbearing step father by running away to the West. He leaves with his grandmother's blessing and "The Boone Gun", the original Kentucky rifle carried by Daniel Boone. He soon encounters a mountain man, Joe Crane, who undertakes the mentoring of Andy in the ways of survival in the wild. The remainder of the saga follows Andy as he moves west ultimately settling in California which is the setting of the last three books. This series would be considered historical fiction since it incorporates actual events and characters from the time period in the narrative. The four stories were published as a posthumous volume, The Saga of Andy Burnett, in 1947. This was adapted into several episodes of The Wonderful World of Disney during 1957 and 1958, starring Jerome Courtland as Andy Burnett and Jeff (Mike Fink) Yorke as his friend and mentor Joe Crane. This series was in many ways a follow-up to Disney's much more successful Davy Crockett.


From IMDb.com:

Episodes of The Saga of Andy Burnett:

Andy's Initiation (2 October 1957)
Andy's First Chore (9 October 1957)
Andy's Love Affair (16 October 1957)
The Land of Enemies (26 February 1958)
White Man's Medicine (5 March 1958)
The Big Council (12 March 1958)

[However, IMDb.com has no information about songs for this series.]