Regarding Cripple Creek: The real basic tune in this case is the sung melody, which is pretty simple. The ABC version that was posted is very similar to the various fiddle versions that I’ve heard that use arpeggios or various scalewise figures to embellish the tune.
Regarding Old-Timey Music (OTM) and Bluegrass (BG): I’m no music historian. The following all comes from reading on the subject, along with some recorded interviews with Bill Monroe, along with personal observations from over 40 years of exposure to the music. (More than that, if you count the fact that my mother sang “Barbara Allen” and “Babes in the Wood” to me when I was a baby, and that her mother sang them to her when she was a baby.)
I’d say that Irish, Scottish, Welsh, and English folk songs and dance tunes are a very important component of OTM. Cecil Sharp collected lots of American versions of the Child ballads. Irish dance tunes are often identifiable, too. In addition, many American ballads use common Irish tunes, like the one to “Rosin the Beau”. Take a look at Jean Ritchies “Field Trip” album at http://www.amazon.com/exec/obidos/tg/detail/-/B00005KHGC/qid=1074191622/sr=1-5/ref=sr_1_5/102-7534288-7030567?v=glance&s=music Ritchie also made a connection between “Loving Hannah” from her tradition and Margaret Barry’s “Going to Mass Last Sunday”. (See Barry’s “I Sang Through the Fairs” CD.)
The Irish influence in cowboy songs probably comes mostly from the post-potato-famine immigrations.
Both the Carter Family and Jimmie Rodgers, who made the first commercial “country music” recordings just days apart in 1927, were influenced by blues musicians. Maybelle Carter supposedly learned to fingerpick the guitar from a Black player (Leslie Riddle?). Some of Blind Lemon Jefferson’s recordings were already out by then, and his style of long bluesy runs can be heard in Maybelle’s playing, and in Roscoe Holcombe’s. This mixing wasn’t just in one direction. Early jazz, jugband music, and Piedmont blues were all heavily influenced by European music, too.
On “Standin’ on the Corner” (“Blue Yodel No. 9”), Jimmie Rodgers was backed up by Louie Armstrong and other jazz musicians. According to one report, Armstrong also recorded a version of Jimmie’s “Blue Yodel No. 4”, though I don’t know the details.
Bill Monroe developed with all these influences. His “Uncle Pen” played traditional fiddle tunes, but Bill was also a big Jimmie Rodgers fan, and Arnold Schultz and gospel music have been mentioned in this thread. As Bill has said, he had a idea of just what he wanted his music to sound like, and it’s obvious that that idea included OTM, blues, and swing. Monroe had at least two fairly distinctive mandolin styles. One is a farily straight fiddle tune style that wouldn’t be out of place in ITM, except maybe for some of the rhythms. The other sounds for all the world like Blind Lemon’s guitar.
It’s probably worth bringing up the connection between Texas fiddle music, which is heavily ornamented and sounds very Irish to me, and Western Swing. I think of Western Swing as jazz influenced by Irish fiddle styles.
Early Southern Mountain multi-instrumental music was played (and sung) in unison, like ITM. That contrasts strongly with swing. BG took the swing approach to this, even when performing traditional fiddle tunes.
Another point of relatively early Black influence on Southern Mountain music is the use of the banjo. Not only was the instrument of African origin, but the original style of playing it involves picking down on the strings with the back of a fingernail, which is supposedly an African technique. In Febuary I’ll be going to a clawhammer banjo workshop to work on this technique.