I'd love to see this film again. The songs sometimes were difficult to make out though I might be able to if I could listen repeatedly. I recall that dialogue and other sounds often drown out the music.
Oddly, "Buffalo Gals" doesn't seem to show up that often in bar scenes of the Old West. Among the most popular are "Oh Dem Golden Slippers" and "Camptown Races". They really could have used "BG" because, I've read, the "Buffalo" is Buffalo, N.Y.! The song would vary, from "Buffalo" to "Hangtown" and other cities/towns/sites. But, it would be a neat one to have had, I agree!
"Rose of Tralee" is a very pretty one. I played electric organ for decades, and "Rose of Tralee" was a very early lesson learned. I now play it on the bowed psaltery, along with many period melodies.
*** The trouble with reality is there is no background music. ***
The song played during the final credits is “Lorena”. This song was composed by Joseph P. Webster and Henry D.L. Webster (they aren’t relatives) in 1856, and very popular in both sides of Civil War. “Lorena” appears in the classic “Gone With The Wind”, in the last scene of John Ford “Horse Soldiers” and in the beginning of “Cowboys & Aliens”. In “The Searchers”, another great western of John Ford, the melody of “Lorena” was used by composer Max Steiner as the leitmotiv of the film score.