Hi girls, can I join in?

Here are the lyrics for the 1894 song by Petrie and Wingate which Sparteye mentioned:

Once there lived side by side, two little maids,
Used to dress just alike, hair down in braids,
Blue gingam pinafores, stockings of red,
Little sun bonnets tied on each pretty head.
When school was over secrets they'd tell,
Whispering arm in arm, down by the well.
One day a quarrel came, hot tears were shed:
"You can't play in our yard,"
But the other said:

Chorus: (All together now!)

I don't want to play in your yard, I don't like you any more,
You'll be sorry when you see me, sliding down our cellar door.
You can't holler down our rain-barrel,
You can't climb our apple tree,
I don't want to play in your yard if you won't be good to me.

Next day two little maids each other miss,
Quarrels are soon made up, sealed with a kiss,
Then hand in hand again, happy they go,
Friends all thro' life to be, they love each other so.
Soon schooldays pass away, sorrows and bliss
But love remembers yet, quarrels and kiss.
In sweet dreams of childhood, we hear the cry:
"You can't play in our yard,"
And the old reply: [Chorus]

And from the collection of Australian children's play rhymes ("Cinderella dressed in yella"), from which I've posted several times before, here are some local variations on some of the rhymes in this thread:

Mary Mack, dressed in black,
Silver buttons down her back.
She likes coffee, I like tea,
She likes sitting on a Chinaman's knee.
Went to a river, couldn't get across,
Paid ten pounds for an old blind horse,
Jumped on his back, gave him a crack,
Goodbye, Mary Mack, she never came back.

My mother said I must never
Go where the gypsies are,
For if I did, she would say
"Naughty girl to disobey,"
One spank, two spank, three spank,
You're out.

My mother said I never should
Play with the sailors down the bay,
If I did, she would say:
"Naughty girl, I'll have you spayed."

And here's one that hasn't been mentioned yet (I think):

Oh, I'm a pretty little Dutch girl,
As pretty as can be, pom pom,
And all the girls around the place
Are crazy over me.
My boyfriend's name is Fatty
And he comes from Cincinnati
With a pimple on his nose
And two auburn toes
And this is how my story goes:
One day when I was walking
I met my boyfriend talking
To a pretty little girl
With a dirty big curl [chocolate]
And this is what he said to her:
"I love you very dearly,
But I love one more sincerely,
So let's go down to the apple tree
And see how happy we can be."