Here's the abc from O'Lochlainn - should be the same tune as the midi in Mudcat Midis linked above.

Mick

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X:1
T:In Praise Of The City Of Mullingar
S:Colm O'Lochlainn - More Irish Street Ballads
L:1/8
M:3/4
K:F
F/F/ C>C|F2 Ac BA|G2 D>D E>E|C2 E>G F>E|F3
w:Ye may strain your mus-cles to brag of Brus-sels, of Lon-don, Pa-ris or Tim-buc-too
C C>C|F2 A>c B>A|G2 D>D E>E|CC EG F>E|F3
w:Con-stan-ti-no-ple, or Seb-as-to-ple, Vi-en-na, Na-ples, or To-nga-ta-boo
A Ac|d2 cc G>A|B2 BG/G/ AB|c2 G>F D>C|C3
w:Of Co-pen-ha-gen, Ma-drid, Kil-beg-gan, or the Ca-pi-tal of the Roo-shian Czar.
F/F/ CC|F2 Ac/c/ BA|G2 DD E>E|C<C (EF) F>E|F4||]
w:But they're all in-far-ior to the vast, su-pa-rior, and gor-geous ci-ty of_ Mul-lin-gar.