Here are the lyrics transcribed from the sheet music at the Levy site:

THE SIDEWALKS OF NEW YORK
(Words and music by Charles B. Lawlor and James W. Blake, 1894.)

VERSE 1: Down in front of Casey's old brown wooden stoop,
On a summers evening, we formed a merry group.
Boys and girls together, we would sing and waltz,
While the "Ginnie" played the organ on the sidewalks of New York.

CHORUS: East Side, West Side, all around the town,
The tots sang "ring a rosie," "London Bridge is falling down."
Boys and girls together, me and Mamie Rorke (sic),
Tripped the light fantastic on the sidewalks of New York.

VERSE 2: That's where Johnny Casey and little Jimmy Crowe,
With Jakey Krause the baker, who always had the dough,
Pretty Nellie Shannon, with a dude as light as cork,
First picked up the waltz step on the sidewalks of New York. CHORUS

VERSE 3: Things have changed since those times. Some are up in "G."
Others they are on the hog, but they all feel just like me.
They would part with all they've got, could they but once more walk
With their best girl and have a twirl on the sidewalks of New York. CHORUS