Airs I-III are not traceable ("From Virue's sluggish Rules be free," "Mary's Dream" and "Alteration").
Air IV: "Duett" to the tune "An Old Woman Cloathed in Gray" is the familiar first tune of John Gay's The Beggar's Opera, ed. Edgar V. Roberts (Lincoln: University of Nebraska Press, 1969), pp. 94-95.
Air V: Van Butchel's song ("See Martin dus his goods display") is not in the songbooks. Prof. Roberts suggests the lyrics could fit the music of "Lillibullero," sometimes used for songs in dialect. Henry Purcell wrote or arranged this Irish burden which was used in 12 ballad operas, including Fielding's Don Quixote in England (1733). Simpson (p. 454) gives one example in dialect: "By Creist my dear Morish vat makes de sho'shad" (ca. 1689).
Air VI: "Shelah O'Sudds" (to the tune "The Siege of Troy") is not traceable.
Air VII: "Medley. Tune, 'Petition Poor Vulcan'" is from Charles Dibdin's burletta Poor Vulcan! (London 1778) which begins: "The humble prayer and petition/Of Vulcan, who his sad condition" (I, 1, p. 7).
Air VIII: "Tune. Hunting Chorus, 'Poor Vulcan'" is the "Chorus and Air" from Dibdin's Poor Vulcan! It begins: "Blacksmith: 'Strike, strike, ton, ton ton, ron'/Huntsman: 'Sound, Sound, tan, ran, ran, tan'" (I, ii, p. 10).
Air IX: "Tune: 'Finale 1st act Poor Vulcan!'" seems to be the song "Pike; 'Pooltroon! Damnation! Zounds, unhand me;/ Either you villain, eat that word,'" (Poor Vulcan! I, p. 23).
Air X: "Medley. Tune, 'Black Joke'" is Leveridge's song of 1730. See E. V. Roberts, ed. Henry Fielding, The Grub-Street Opera (p. 105) and Charles Wood's The Author's Farce (Lincoln: University of Nebraska Press, 1966), p. 116.
Air XI: "Welcome, Brother Debtor" appears in many eighteenth-century song collections, including Henry Roberts' Calliope; or, English Harmony, a collection of ... English and Scots tunes (London, 1739-1749), p. 315.
Airs XII, XIII and XIV are not traceable. ("Medley tunes 'Stoney Batter,' 'Tyburn Tree,' and 'Ballance a Straw.'")