In Aloys Fleischmann, ed., Sources of Irish Traditional Music c. 1600-1855, 2 vols. (New York: Garland, 1998), these tunes are collected:

#757: "Piss Upon the Grass" (Caledonian Country Dances, 1737-40, III 236)
#1627: "A Medley" (Love in a Village: A Comic Opera, 1763, I 15)
#1638: ["Nancy Dawson"] (Kane O'Hara, Midas: A Comic Opera, 1764, III 50)
#1771: "Nancy Dawson Hornpipe" (A Collection of Violin Music by James Gillespie, 1768, III 111e)
#2486: "Nancy Dawson" (J. Aird, ed., A Selection of Scotch, English, Irish and Foreign Airs, 1790-97, I 112)
#3844: "Nancy Dawson" (B. Cooke, Forty Eight Irish Country Dances, c1805, I 17)
#6436: "Nancy Dawson" (J.P. Lynch, ed., The Melodies of Ireland, 1845-46, 34)

From Chappell:

(1) "Nancy Dawson, or Miss Dawson's Hornpipe"

X:1
T:Nancy Dawson, or Miss Dawson's Hornpipe
M:6/8
L:1/8
B:William Chappell, Old English Popular Music, [1838, 1840, 1893], rpt. 1961
K:G
G|G2 G G2 B|d2 B G2 B|A2 B A2 B|
w:Of all the girls in our_ town, The black, the fair, the
A2 G FE D|G2 G G2 B|d2 B G2 B|
w:red, the brown,_ That dance and prance it up and down, There's
A2 G F2 E|D3 D2||D|A2 A A2 B|A2 G FE D|
w:none like Nan-cy Daw-son. Her ea-sy mien, her shape so neat,_ She
d2 d d2 e|d2 c BA G|c2 B c2 d|
w:foots, she trips, she looks so sweet,_ Her ev'-ry mo-tion's
e2 f g2 e|d2 c B2 A|G3 G2||
w:so com-plete, I die for Nan-cy Daw-son.

Two other descendants are:

(2) "I Saw Three Ships"

X:2
T:I Saw Three Ships
M:3/4 %should have been 4/4
L:1/8
B:William Sandys, Christmas Carols, Ancient and Modern (1833; rpt. n.p., Folcroft, 1976)
K:G
D2|G3/2 G/ A3/2 B/ d3/2 B/|A3/2 c/ B3/2 G/ G3/2 B/|
w:I saw three ships come sail-ing in On Christ-mas day, on
A3/2 D/ D3/2 D/ G3/2 G/|A3/2 B/ d3/2 B/ A3/2 c/|
w:Christ-mas day I saw three ships come sail-ing in On
B3/2 G/ G3/2 A/ B/ A3/2|G4|]
w:Christ-mas day in the morn-ing.

(3) "Garden Hymn"
See The Southern Harmony