From thesession.org: "Also known as Cathal McConnell's, Cock And Hen, Cock And The Hen, The Cock And The Hen, Dennis Ryan's, Doodley Doodley Dank, Doodly Doodly Dank, F#m Slip, Grandad's Delight, Keane's Favourite, The Northern Jig, Over The Hill, Ryan’s."
From The Session comments: "South Wind was written in the 1700s by Freckled Donal Macnamara in homesickness for his homeland in County Mayo, as described in Donal O'Sullivan's wonderful book, Songs of the Irish."
From the Wikipedia entry for "Rocky Road to Dublin": "'Rocky Road to Dublin' is a fast-paced 19th century Irish song about a man's experiences as he travels to Liverpool, England from his home in Tuam. The tune has a typical Irish rhythm, classified as a slip jig and is often performed instrumentally. The song is partially recited several times by Mr. Deasy in James Joyce's Ulysses. The words were written by D.K. Gavan, 'The Galway Poet', for the English music hall performer Harry Clifton (1824-1872), who popularised the song."
From The Sessions: Also known as As I Went Out Upon The Ice, Glen Cottage, Glen Cottage Polka #2, Glen Cottage Polka 2, Glen Cottage Polka No.2, The Green Cockade, The Haughs O' Cromdale, The Haughs Of Cromdale, O'Donnell's Return, O'Neill's March.
From The Clarke Tin Whistle by Bill Ochs: "I have yet to come across evidence of tin whistles being played in the Southern Appalachians. Some of the fiddle tunes from the area do adapt nicely to the whistle." (p. 52)
From Wikipedia entry on "The Parting Glass": "'The Parting Glass' is an Irish traditional song, often sung at the end of a gathering of friends. It was allegedly the most popular song sung in both Scotland and Ireland before Robert Burns wrote 'Auld Lang Syne.'"
From Wikipedia entry on "Star of the County Down": "'Star of the County Down' is an old Irish ballad set near Banbridge in County Down, in Northern Ireland. The words are by Cathal McGarvey, 1866-1927, from Ramelton, County Donegal.[1] The tune of the song, a pentatonic melody, is similar to that of several other works, including the almost identical English tune 'Kingsfold', well known from several popular hymns, such as "Led By the Spirit." The folk tune was the basis for Ralph Vaughan Williams' Five Variants of Dives and Lazarus. The song is notable for its tight rhyme scheme. Each stanza is a double quatrain, and the first and third lines of each quatrain have an internal rhyme on the second and fourth feet: [aa]b[cc]b. The refrain is a single quatrain with the same rhyming pattern. The song is sung from the point of view of a young man who chances to meet a charming lady by the name of Rose (or Rosie) McCann, referred to as the 'star of the County Down'. From a brief encounter the writer's infatuation grows until, by the end of the ballad, he imagines wedding the girl."
From Wikipedia entry on "Amazing Grace": "'Amazing Grace' is a Christian hymn written by English poet and clergyman John Newton (1725–1807) published in 1779. With a message that forgiveness and redemption is possible regardless of the sins people commit and that the soul can be delivered from despair through the mercy of God, 'Amazing Grace' is one of the most recognizable songs in the English-speaking world. ... With folk music origins vague and documentation incomplete, scholars can only speculate where the melody originated. These guesses include a Scottish folk ballad as many of the new residents of Kentucky and Tennessee were immigrants from Scotland, or folk songs developed in Virginia, or South Carolina, William Walker's home state."
From Wikipedia entry on "Oh Shenandoah": "'Oh Shenandoah' (also called simply 'Shenandoah', or 'Across the Wide Missouri') is a traditional American folk song of uncertain origin, dating at least to the early 19th century. The song is number 324 in the Roud Folk Song Index, but is not listed amongst the Child Ballads."
Commentaries at The Session, however, claim that the song is often considered a march, and as the YouTube clips below make clear, this tune fits that bill.