Dim memory of a Glasgow childhood in late 50's/early 60's Gorbals, mixed parentage and a Granny in Bridgeton gives me this:

If you're feeling sad and lonley and your heart just skips a beat
You'll get your f***ing head kicked in
If you walk down James's Street [road linking Bridgeton Cross aka The Toll to the Gorbals, across the River Clyde at Glasgow Green]
Take a walk into the Mermaid [famous Bridgeton pub for generations of Rangers supporters. Became the McKenzie, then the Bridgeton Bar, now derelict but still standing]
And you'll hear a famous noise
Get out you Fenian B***ards,
We're the Brigton Billy Boys
We're the Boys from the Toll
We are loyal and we're true
And if we meet some Fenians
We are ready for a do
To the cry of 'No Surrender'
You will know us by our noise
Good luck to the Glasgow Rangers
And the Brigton Billy Boys
Hello Hello we are the Billy Boys
Hello Hello you'll know us by our noise
We're up to our knees in Fenian blood
Surrender or you'll die
For we are the Brigton Billy Boys

There's another fragment I can't fit in anywhere:

For we chased the San Toi up the Gallowgate [road linking Glasgow Cross to the East end and not far from Bridgeton]
For we are the Brigton Billy Boys

This was being sung in full by Rangers suppoters until the late 1960s, but in the same way that the original Derry's Walls lyrics became doggerelised, so with this, which is reduced to the maximum offensiveness of the 'Billy Boys' chorus sung to the tune of Marching Through Georgia.

Now for a bit of balance, can someone take on these two half-remembered songs from games at Celtic Park in the 1960s, and fill in the blanks?

"And I'll stand in the van
Like a loyal Irishman
And stamp out the forces of the Crown"

and the version of 'Off to Dublin in the Green' with this lyric:

"We're off to Dublin
In the Green, in the Green
With our bayonets flashing in the sun
And the bayonets clash with the Orange sash
To the echo of the Thomson gun"