Aka “Come Along With Me”
This is from a .pdf of the scanned manuscript of Martin Mulvilhill’s collection, p.74 Tune #45
(a handwritten note at the bottom of page indicates he got it from Brendan).
Here is "Come Along With Me" (from O’Neill) copied and pasted from Andrew Kuntz’s Fiddlers
T:Come Along with Me 
S:O’Neill – Dance Music of Ireland: 1001 Gems (1907), No. 337
g|dBG GFG|GBd efg|dBG GBd|ecA ABc|
dBG EFG|DGB ABc|dec BcA|BGG G2:|
|:B|gfg GBd|gbg afd|gfg GBd|ecA A2d|
gfe ded|cBc ABc|dec BcA|BGG G2:|
this tune is also apparently called Paddy Fahy’s Jig — not this, I think:
Finbarr Dwyer recorded this as The Hideout.
Finbarr Dwyer recorded this as The Hideout and it’s also in one of Breathnach’s volumes (I think its No.3) under the title Paddy O’Brien’s which I WON’T stick in as an alternative title (ahem..!). :)
As played by Steph Geremia on "The Open Road"
T: Green Forest, The
|:g | dBG GAG | GBd efg | dBG GBd | ecA ABc |
dBG DEG | DGB ABc | .d2e cAF |1 AGF G(3Bcd :|2 AGF GBd ||
|gdB GBd | g3 afd | gdB G(3Bcd | e2A A(3Bcd|
gfe ded |cBc ABc | d2e cAF |AGF G(3Bcd |
|gdB GBd | gbg afd | gdB G(3Bcd | e2A A(3Bcd|
gfe d2e |cBc ABc | d2e cAF |AGF GBd ||
The Green Forest
Joe Ryan recorded this tune on his superb album ‘An Buachaill Dreoite’ under the name ‘Kilhouries’.
From "Owenmore ceili band" by Owenmore ceili band, track 6, 2nd tune.