From The Fiddler's Companion: Result of search for "Villikins and His Dinah":

LITTLE PEGGY'S [2]. AKA and see "Paddy Whack." American?, Jig. G Major. Standard. AABB. The tune is a member of the "Villikins and His Dinah" tune family. Cole (1001 Fiddle Tunes), 1940; pg. 68.

PADDY WHACK [1] (Paidin An Bualadoir). AKA and see "When/While History's Muse," "Whoop! do me no harm, good man," "The Green Joke," "Harp that in Darkness." Irish, Scottish, English, American; Double Jig. USA; New York, southwestern Pa. England, Shropshire. G Major (Ashman, Ford, Kerr, O'Neill, Peacock, Phillips, Raven): D Major (Bayard): A Major (Cole, Miller & Perron). Standard. AB (Bayard, Peacock, Raven): AABB (Ashman, Cole, Ford, Kerr, Miller & Perron, O'Neill, Phillips): AABB' (O'Neill/1001). The tune, which is of the "Villikins and His Dinah" tune family, has been often published from the later 18th century on in both fiddle and fife collections; some later publications have called it "Paddy O'Whack." John Glen (1891) finds the earliest Scottish printing of it in Robert Ross's 1780 collection (pg. 7). Cited as having commonly been played at Orange County, New York, country dances in the 1930's (Lettie Osborn, New York Folklore Quarterly). Sources for notated versions: Walter Neal (Armstrong County, Pa., 1952) and Hiram Horner (fifer from Westmoreland and Fayette Counties, Pa., 1963) [Bayard]; a c. 1837-1840 MS by Shropshire musician John Moore [Ashman]; Jehile Kirkhuff (Pa.) [Phillips/1995]. Ashman (The Ironbridge Hornpipe), 1991; No. 116b, pg. 48. Bayard (Dance to the Fiddle), 1981; No. 543A-B, pg. 484. Cole (1001 Fiddle Tunes), 1940; pg. 59. Ford (Traditional Music in America), 1940; pg. 32. Kerr (Merry Melodies), Vol. 1; No. 45, pg. 40. Miller & Perron (New England Fiddler's Repertoire), 1983; No. 25. O'Neill (Krassen), 1976; pg. 21. O'Neill (1850), 1903/1979; No. 759, pg. 141. O'Neill (1001 Gems), 1907/1986; No. 43, pg. 24. Peacock (Peacock's Tunes), reprint1980; No. 22, pg. 7. Phillips (Traditional American Fiddle Tunes), 1989; pg. 38-39. Phillips (Traditional American Fiddle Tunes), Vol. 2, 1995; pg. 375. Raven (English Country Dance Tunes), 1984; pg. 118.
T:Paddy Whack [1]
L:1/8
M:6/8
S:O'Neill - 1001 Gems (43)
K:G
c|BGB cde|dBG A2G|GBd efg|fdd d2e/f/|gbg gfd|c>de dBG|GAB cAd|BGG G2:|
|:B|GBd g>fg|edc BAG|GBd e>fg|fdd d2z|1 GBd g>fg|edc BAGT|GAB cAd|BGG G2:|2
(e/f/)|gbg afd|c>de dBG|GAB cAd|BGG G2||

VILLIKINS AND HIS DINAH. An extensive tune family which includes "Little Peggy" and "Paddy Whack."
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The earlier version of "Paddy Whack" (double jig) was in J. Rutherford, ed., Rutherford's Compleat Collection of 200 of the Most Celebrated Country Dances (c1756), whose tune is copied in Aloys Fleischman, Sources of Irish Traditional Music c.1600-1855, vol. 1 (Garland, p. 281 [no. 1479]).

~Masato