I see it listed as a traditional slow air. found this abc in a collection labeled "O'Neil's" but no index or notes

X:10
T: Moran's Return
M:4/4
L:1/8
C:Traditional
R:Air
K:F
Ac |: d2 G2 G2 cB | A2 F2 F2 fg | a-a/2 g/2 fe fd cA | G2 GA B2 Bc |
d2 G2 G2 cB | A2 F2 F2 fg | a-a/2 g/2 fe fd cA |1 G2 F2 F2 A/2B/2 c:|2 G2 F2 F2 AG|
|: F2 fe f3 g | ag fe d2 cA | d2 g2 g3 a/2 |ba gf g2 fg |
a2 ba g2 ag | fg fd c2 fg | a-a/2 g/2 fe fd cA|1 G2 F2 F2 AG :|2 G2 F2 F2 ||


PDF sheet music at http://riviere.auzeau.org/tablature/moran-pdf.pdf

and elsewhere found this tidbit "the piper's slow air 'Moran's Return' were unearthed by her from manuscripts dating from 1844" the "her" refered to is Nollaig Casey