Several libraries have cataloged the sheet music for a song with the following description (unfortunately, none of them has posted images online):

LET'S ALL GO AROUND TO MARY ANN'S.
Words by Ballard Macdonald; music by Harry Carroll.
New York: Shapiro, Bernstein & Co. Inc., ©1913.

First line verse: Let's all go around to Mary Ann's and tickle a tune upon the Pianola.
First line of chorus: Sunday night in our town's like Sunday night in yours.

At YouTube you can hear a recording by Arthur Collins & Byron G. Harlan from 1914, titled: "LET'S ALL GO 'ROUND TO MARY ANN'S." You can also see an image of the record label. Here’s my transcription, with a couple of gaps:

1. Sunday night in our town's like Sunday night in yours:
Nothing to do on the outside and nothing to do indoors.
They even shut the movies as soon as it gets dark.
They chase the couples in off the stoop and then they lock the park.
But there’s one place if you can find your way,
And just as soon as the drugstore’s shut you’ll hear somebody say:

CHORUS: Let’s all go around to Mary Ann's
And tickle a tune upon the pianola.
There’s something nice
Always on the ice,
And you don’t have to ask her twice for a drink of Coca-Cola.
Her front door has never known a lock.
It’s always standing open and you never have to knock.
Nobody knows what time it is, for the hands are off the clock.*
So we’ll never go home until morning around to Mary Ann's.

2. On the great Atlantic, the waves were rolling high—
Terrible thunder and lightning and storms from out the sky.
The good ship Helen Blazes had just come on the rocks.
One half the passengers lost their lives; the first mate lost his socks.
“Oh, men,” the captain cried, “it’s up to you.”
And then the second assistant cook said: “I know what we’ll do.” CHORUS

3. Cannonballs were flying; the fight was almost won.
Millions of … were dying; they hadn’t a chance to run.
General …, the pride of Mexico,
Was digging a hole to China; there was no other place to go.
As he dropped his spade to take a rest,
Up rode an orderly on a mule and yelled: “Hey! I suggest—.” CHORUS

* [This line varies as the chorus is repeated:]
2. Mary is Irish and so is the cop who beats around the block.
3. Many a man for Mary Ann has left his watch in hock.