I've heard it - possibly Birmingham (England) and just possibly sung by a duo from 30 yars ago or more called the Two Bridies or similar. The chorus is, or includes:

Lily McNally McNair (assuming your spelling's correct!)
Pride of the Clyde and the Liffey
Lily McNally McNair captured me heart in a jiffy.

Then (not sure if this is still chorus)

No one is sweeter and sometimes I meet her
And that's when I walk on air
And down in the valley I dilly and dally with
Lily McNally McNair