Here's my transcription from Bodleian Library Broadside Ballads, Firth c.26(260). The third verse is nearly illegible; I don't really think the word in the last verse is "sea" but that's the most fitting word I can think of.

MULDOON, THE SOLID MAN

I am a man of great influence
And educated to a high degree.
I came when small from Donegal.
With my cousin Tim, I crossed the sea.
In the Aston Road we were situated
In a lodging house with my brother Dan.
By perseverance I elevated
And went to the front like a solid man.

CHORUS: Go with me, and I'll treat ye dacent.
I'll let ye down, and I'll fill the can.
As I walk the street, each friend I meet
Says, "There goes Muldoon. He's a solid man."

At a party or a raffle,
I always go as an invited guest.
As conspicuous as the grand Lord Mayor, boys,
I wear a rosebud upon my breast.
When called upon to address the meeting,
Without regard to clique or clan,
I show the constitution with elocution
Because, you know, I'm a solid man.

I control the styles when I'm at Brighton.
My constituents they all go there
To enjoy the summer's recreation
And the refreshing salt-sea (?) air.
I'm known through England. I'm known through Ireland.
I'm welcomed heartily by every hand.
When the band does play on St. Patrick's Day,
I march away like a solid man.