Sure it's by Johnny Burke? You can find sheet music for it at the John Hopkins Levy site, Box 048, Item 055, which says "Written & composed by G.W. Hunt". Burke published many songs besides his own in his paper.

From the Levy scan:


OLD BROWN'S DAUGHTER

There lives an ancient party / At the other end of town,
He keeps a little grocery shop / His ancient name is Brown!
He's got an only duaghter, / Such a party I ne'er saw,
By jingo I should like to be / The Old Chap's son-in-law.

CHORUS.
|: [For] Old Brown's daughter's a proper sort of girl,
Old Brown's daughter's as fair as any pearl,
I wish I was an Astor, or some such heavy Twirl,
I'm blow'd if I wouldn't marry Old Brown's girl. :|

2. Old Brown now he sells very nearly / Every thing you'd please,
Treacle, soap, and bundles of wood, / Lolly pops, and cheese;
His daughter minds the shop, / It's a treat to see her serve;
I'd like to run away with her, / But I havn't got the nerve.
CHORUS.

3. Poor Old Brown he's very often / Troubled with the gout,
He 'grumbles' in the little parlor, / When he can't get out;
Then I go and make a purchase, / O! and when she hands the change,
That gal makes me feel gal-vanized, / I feels so very strange.
CHORUS.

4. Miss Brown she smiles so sweetly, / When I makes a tender pun,
But Old Brown says that she shall wed, / A millionaire or none;
But I don't think as ever / One of them swells I shall be?
But by jingo next election / I shall put up for M. C.

SPOKEN.__I shall then get in the HOUSE wich is only next door to the SENATE "Who'll vote for Scroggings."__"Scroggings for REPRESENTATIVE "Scroggings for ever!"   "Scroggings the working man's friend"__Down with taxes and up with Scroggings" "Scroggings votes for everything. I think I'd stand a chance any how I shouldnt be the only muff in the House__and then I should be the happy owner of__CHORUS.

[From the cover:]
Written & composed by G. W. Hunt.
Lee & Walker, Philadelphia, 922 Chestnut St.
W.H. Boner & Co., 1102 Chestnut St.
Oliver Ditson & Co., Boston
A & S Nordheimer, Toronto, CA
Chas W Harris, New York