I learned the "Patsy orie orie ay" version in the scouts and the "Phillami orie orie ay" version from the Spinners.

This version:

In eighteen hundred and forty one
Me corduroy breeches I put on
Me corduroy breeches I put on
To work upon the railway, the railway
I'm weary of the railway
Poor Paddy works on the railway

I was wearing corduroy britches
Digging ditches, pulling switches
Dodging bitches
I was working on the railway

with the change of rhythm and quite different chorus I first heard on a Dubliner's record but I think this song was recorded by Ewan MacColl and he claims it was collected 'in a loco shed in Newton Heath, Manchester'. How much was collected by MacColl and how much was arranged or regenerated is hard to tell.