There's a copy of the sheet music at Indian on this page Kirk Collection (go down to title and there's a pdf link). Only 2 verses and 1 unchanging chorus given. I've marked the text changes (except for capitalization/punctuation).

torrents should replace storms and gone on the rocks should replace come on the rocks in Jim's transcription above.

That word after Millions could be feudals.

Mick

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LET'S ALL GO AROUND TO MARY ANN'S
(Words by Ballard Macdonald; music by Harry Carroll)

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 stoops and then they lock the park.
But there’s one place if you can find your way,
And just as soon as the drug store shuts 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 Coco 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, 'cause the hands are off the clock.
So you never go home until morning around at Mary Ann's.

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